2 years ago

What is the solution to 3x + 1 < 2x - 2 < 5x +7

1 answer:

8 0

This inequality has NO SOLUTION:

PROOF:

3x + 1 < 2x - 2 < 5x +7

1st let's analyze the 1st inequality: 3x+1<2x-2
3x-2x <-2-1 Then x <-3

2nd let's analyze the 2nd inequality: 2x-2 < 5x+7
2x-5x < 7+2 Then -3x<9 OR 3x > - 9 and x> - 3

In the 1st we have x <-3 in the 2nd we have x > - 3 which is impossible

You might be interested in

Mrs Katie constructs a cube with 512 magnetic block students and her two classes will each make an identical cube. There are 28

devlian [24]

I take it each student is going to make a block.
She has 25 + 28 students all together which is 53 students total
Each one requires 512 magnetic blocks

Therefore she needs 53 * 512 = 27136 blocks.

6 0

2 years ago

Antonio owes $15 less than Maria owes. This means that Antonio's balance is _________ than Maria's balance. (Maria owes more tha

Margarita [4]

Greater is the answer for the blank space

6 0

2 years ago

Read 2 more answers

The area of a rectangle is 12x^2-8x-15. The width is (2x-3). What is the length of the rectangle?

Aliun [14]

The length of the rectangle is (6x+5)

4 0

3 years ago

a total of 5 1/4 cups of baking soda was used for the muliple trials of science experience each trial used 3/4 cup of baking sod

MA_775_DIABLO [31]

Convert 3/4 into decimal form = 0.75
0.75 x 7 = 5.25
Convert 5.25 into a fraction = 5 1/4
In conclusion, 7 trails were conducted.
Hope this helps!:D

7 0

2 years ago

The function f(x) is represented by this table of values.

Darya [45]

The average slope (s) on the interval [a, b] is given by
s = (f(b) -f(a))/(b -a)

When there are a lot of computations to do, it is convenient to let a machine do them. The intervals and slopes are ...
[0, 5] : 5
[-3, 3] : 0
[-5, 3] : -2
[-3, 5] : 2

6 0

3 years ago