what are the integer solutions to the inequality below?
[tex]3\leq 3x-4\ \textless \ 2x+1[/tex]

Answers

Answer 1

Given:

The compound inequality is:

[tex]3\leq 3x-4<2x+1[/tex]

To find:

The integer solutions for the given compound inequality.

Solution:

We have,

[tex]3\leq 3x-4<2x+1[/tex]

Case 1: [tex]3\leq 3x-4[/tex]

[tex]3+4\leq 3x[/tex]

[tex]\dfrac{7}{3}\leq x[/tex]

[tex]2.33...\leq x[/tex]             ...(i)

Case 2: [tex]3x-4<2x+1[/tex]

[tex]3x-2x<1+4[/tex]

[tex]x<5[/tex]                  ...(ii)

Using (i) and (ii), we get

[tex]2.33...<x<5[/tex]

The integer values which satisfy this inequality are only 3 and 4.

Therefore, the integer solutions to the given inequality are 3 and 4.


Related Questions

what is (100×23)+46
also i just need my question to be longer so hi​

Answers

Answer:

(100×23)+46=2346

Step-by-step explanation:

thats what my calculator said sheeesh seeesh can I get brainliest sheesh sheeesh

I really need help with 9 and 10. If you can help I’ll figure out how to give your brainliest.

Answers

Answer:

2 and 5[89] .........................

Remove the largest possible common factor. Check your answer by multiplication.
35x3 + 21x2 + 28x

Answers

Answer:

7x

Step-by-step explanation:

A library checks out seven fiction books an hour. They check out five times as many non-fiction books per hour. How many nonfiction books do they check out per hour?

Answers

Answer:

35 non-fiction books/hour

Step-by-step explanation:

They checkout five times as more than nonfiction fiction is 5 so multiply that times 7 and you get 35    

O número -3 é a raíz da equação x² - 7x - 2c = 0. Nessas condições, determine o valor do coeficiente c: A) 7 B) -2 C) -3 D) 15 E) NDA

Answers

Responder:

c = 15

Explicação passo a passo:

se -3 é a solução para a expressão x² - 7x - 2c = 0, para obter c, vamos substituir x = -3 na equação (uma vez que é uma raiz)

x² - 7x - 2c = 0

(-3) ² - 7 (-3) - 2c = 0

9 + 21 - 2c = 0

30 - 2c = 0

30 = 2c

Trocar

2c = 30

c = 30/2

c = 15

Portanto, o valor de c é 15

Don't use such phrases here, not cool! It hurts our feelings :(.
what is this i just asked a question and i get this.

Answers

Answer:

true

Step-by-step explanation:

Working on math right now!

Answers

Answer:

Hi! The answer to your question is A. [tex]5^{4} * 4^{8}[/tex]

Step-by-step explanation:

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☆Brainliest is greatly appreciated!☆

Hope this helps!!

Stay Safe!!!

- Brooklynn Deka

Which transformations can be used to map a triangle with vertices A(2, 2), B(4, 1), C(4, 5) to A’(–2, –2), B’(–1, –4), C’(–5, –4)? a 180degree rotation about the origin a 90degree counterclockwise rotation about the origin and a translation down 4 units a 90degree clockwise rotation about the origin and a reflection over the y-axis a reflection over the y-axis and then a 90degree clockwise rotation about the origin

Answers

The transformations that can be used to map a triangle with vertices A(2, 2), B(4, 1), C(4, 5) to A’(–2, –2), B’(–1, –4), C’(–5, –4) is C. a 90 clockwise rotation about the origin and a reflection over the y-axis

What is a Transformation?

This refers to the mathematical process where one figure or expression is changed from one form to another that has or contains a similar value.

Given the pair of points (x, y) in the original image, it has been transformed to (-y, -x).

If we allow ABC to be first transformed onto A"B"C" by a 90° clockwise rotation, this would result in:

B(4, 1) being mapped onto B''(1, -4).

Therefore, the rule mapping ABC to A"B"C"   is (x, y)→(y, -x)

With this, we can conclude that the transformation that maps (y, -x) to (-y, -x) is a reflection with respect to the y-axis

Option C is the correct transformation.

Read more about transformations here:

https://brainly.com/question/4451635

#SPJ1

Answer:

C

Step-by-step explanation:

7th grade math help me pleaseee

Answers

Answer:

He bought 26 stamps

Step-by-step explanation:

13.66=.39x+4.30

9.36=.39x

26=x

Answer:

24 stamps

Step-by-step explanation:

13.66 - 4.3 = 0.39s

9.36 = 0.39s

Divide both sides by 0.39

24 = s

Or turn it:

s = 24

Will mark brainlist PLSSSS HELPPPPPP

How many of each different 2-D shapes do you see?

Answers

Answer:

Hexagon and rectangle

Step-by-step explanation:

If you are only counting 1 of each shape then 2

If counting all shapes I would say 8

Diana baked 36 cookies with 4 scoops of flour. How many scoops of flour does Diana need in order to bake 45 cookies? Assume the relationship is directly proportional.

Answers

Answer:

5 scoops of flour

Step-by-step explanation:

36 divided by 4 is 9

9 x 5 is 45

HELPP ME PLEASE!!!!
don’t use for points or i’ll report you.

Answers

c = -4 that’s the answer if you didn’t see my comment

Special right triangles how do you solve them

Answers

The interior angles of any triangle must add up to 180° in measure. Right angles have measure 90°, so the missing angles in both triangles here have measure 45°.

In a 45°-45°-90° triangle, the legs and hypotenuse occur in a ratio of 1 : √2. This means

(1) x = 48 √2

(2) 88 = √2 x   →   x = 88 / √2 = 44 √2

You could also set up trigonometric equations to solve for x in each case:

(1) cos(45°) = 48 / x   →   x = 48 / cos(45°) = 48 / (1 / √2) = 48 √2

(2) cos(45°) = x / 88   →   x = 88 cos(45°) = 88 (1 / √2) = 44 √2

Step-by-step explanation:

The interior angles of any triangle must add up to 180° in measure. Right angles have measure 90°, so the missing angles in both triangles here have measure 45°.

In a 45°-45°-90° triangle, the legs and hypotenuse occur in a ratio of 1 : √2. This means

(1) x = 48 √2

(2) 88 = √2 x   →   x = 88 / √2 = 44 √2

You could also set up trigonometric equations to solve for x in each case:

(1) cos(45°) = 48 / x   →   x = 48 / cos(45°) = 48 / (1 / √2) = 48 √2

(2) cos(45°) = x / 88   →   x = 88 cos(45°) = 88 (1 / √2) = 44 √2

tell whether a triangle can have the given angle measures:
47°, 109°, 23°

Answers

Answer: No

Explanation: All the angles of a triangle has to add up to 180. The angles you provided adds up to 179, which does not equal 180. That means it can’t be a triangle.

Answer:

No

Step-by-step explanation:

47 + 109 + 23 = 179

But the angle sum of a triangle is 180.

24. Suppose the area of the sail shown in the photo at the left is 110 ft. Find the dimensions of the sail.

Answers

So basically what you need here first is to find the disciple and reverse it, then you will have your answer.

help please ! I dont understand this question ​

Answers

Answer:

x = 4

Step-by-step explanation:

all angles in triangle add to 180

90+70=160

180-160=20

20÷5=4

An electrician charged a fee of $45 plus $60 per hour to come to Ed's house and make a repair. How many hours did the repair take if the total bill was $120.

Answers

Answer:

1 hour and 15 minutes

Step-by-step explanation:

$120 - $45 = $75

$75 ÷ $60 = 1.25 hours or and 1 hour and 15 minutes

Need math helps plzzzz no links or imma report u 20 points plzzz helps

Answers

Answer:

the answer is (c)

Step-by-step explanation:

-(-1)-13= 1-13=-12

Answer:

-1

Step-by-step explanation:

You need to take -13 behind the = sign and it will become +13. Now -12+13=-1. Again it is -x because of which 1 will be divided by - and the answer will be -1

Write at least two operations that have the value - 2/4.

Answers

Answer:

(-1)- (-1/2)= -0.5

Step-by-step explanation

-0.5 = to -2/4 in fraction

-0.5 in a fraction equals -2/4

and heyo

yoo can some on help im just a dud that suck a ixl

Answers

I think the answer is 58, but im not 100% sure so im sorry if it is wrong

In illustrating combination question, during conference meeting there are 7 guests bumped their elbow instead of shake hand in greeting each of other to observe the health protocol ,and show the solution please...

Answers

dic Head bc you are slow and you asking Brainly for the answer

I need help on this it's due in 10 minutes​

Answers

Answer:

B, no, yes, no, no, no, 225

Step-by-step explanation:

find the value of y in the diagram below.

Answers

9514 1404 393

Answer:

   5

Step-by-step explanation:

The diagram shows that 4y = 20.

Then y is one of 4 equal parts, so y = (1/4)(20) = 5.

The value of y is 5.

Pepe compró una caja de chocolates en $5.950, incluido el 19% de IVA. ¿Cuál es el precio de la caja de chocolates sin el IVA?

Answers

Answer:

$4819.5

Step-by-step explanation:

Pepe bought a box of chocolates for $ 5,950, including 19% VAT. What is the price of the box of chocolates without VAT?

The price of chocolates = $5,950

VAT = 19%

We need to find the price of the box of chocolates without VAT.

VAT is applied on the Cost price of the object.

Price = $5,950 - 19% of $5,950

[tex]=5950- 5950\times \dfrac{19}{100}\\\\=\$4819.5[/tex]

So, the price of the box without VAT is equal to $4819.5.

Anyone know how to answer this question?

Answers

Answer:

30

Step-by-step explanation:

Help please asap
What is the surface area

Answers

Answer:

27

Step-by-step explanation:

maybe?

Answer:

486

Step-by-step explanation:

start by finding the area of 1 side

then you multiply it by 6 since a cube has 6 sides

Which expression is a factor of 9r^2 - 4r + 1?
F 3r-1
G r- 1
H- 9r- 1
J- There are no real factors.

Answers

9514 1404 393

Answer:

  J- There are no real factors.

Step-by-step explanation:

For quadratic ax^2 +bx +c, the discriminant is ...

  d = b^2 -4ac

  d = (-4)^2 -4(9)(1) = 16 -36 = -20

When the discriminant is negative, there are no real factors.

Answer: there are no real factors

Step-by-step explanation:

A silicon wafer is textured to minimize light reflection. This results in a surface made up of square pyramids. Each triangular face of one of the pyramids has a base of 5 micrometers and a height of 5.6 micrometers. Find the surface area of the pyramid, including the base.

Answers

Answer:

86.33 square micrometers

Step-by-step explanation:

A silicon wafer is textured to minimize light reflection. This results in a surface made up of square pyramids. Each triangular face of one of the pyramids has a base of 5 micrometers and a height of 5.6 micrometers. Find the surface area of the pyramid, including the base.

The formula for the Surface Ares mma is given as :

A=a² + 2a √a²/4+ h²

a = base edge = 5 micro meters

h = height = 5.6 micro meters

=5²+2× 5 × √5²/4+ 5.6²

= 86.32699 square micrometers

≈ 86.33 square micrometers

If you answer this you're HOT!!!!!

For the following question, determine whether the two are similar. If so, give the scale factor of the figure to the larger figure

Answers

Answer:

Yes, 1:3.

Step-by-step explanation:

Each of the numbers on figure 2 are 3 times the number on figure 1.

PLEASSEE HELP MY ASSIGMENT IS ALMOST DUEEE!!! PLEASE HELP MY I WILL GIVE YOU BRAINLEST

Answers

Answer:

ill help you whats the question

Step-by-step explanation:

Answer:

what do we answer I see nothing

Step-by-step explanation:

??

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