Question

Help!!!!!!!!!!!!!!!!!!!!!!!!!

Answer 1

-10 < 3x-4 < 8

Isolate x

First add 4 to each side:

-6 < 3x < 12

Divide each side by 3:

-2 < x < 4

The inequality signs do not contain equal to, so you would have open circles on both -2 and positive 4.

This means x is greater than -2 and less than 4, which is shown as the 3rd choice.

Answer 2

Option C is correct.

Explanation:

-10<3x-4<8

Solving the given equation,

we know that if a<b<c then a<b and b<c

s0, -10<3x-4 and 3x-4<8

Solving to find the value of x

-10<3x-4

Switching sides,

3x-4>-10

3x > -10 +4

3x > -6

x > -6/3

x > -2

3x-4 < 8

3x < 8+4

3x < 12

x < 12/3

x < 4

s0, x >-2 and x < 4

-2 < x <4

Option C is correct.