Respuesta :

Answer:

The answer to question is:   -17/2 < x < -4

Step-by-step explanation:

Solve for x                             -68 < 8x -4 < -36

Add +4                                  - 68 + 4 < 8x - 4 + 4 < - 36 +4

Simplify                                  -68 < 8x < - 32

Divide by 8                             -68 / 8 < 8/8 x < -32/8

Simplify                                  -17/2 < x < -4

Answer:

The solution for the inequality is [tex]-8 < x < -4[/tex]

Step-by-step explanation:

Consider the provided inequality.  

[tex]-68 < 8x -4 < -36[/tex]

Add 4 to the inequality.

[tex]-68+4 < 8x -4+4 < -36+4[/tex]

[tex]-64 < 8x < -32[/tex]

Divide the inequality by 8.

[tex]-8 < x < -4[/tex]

Hence the solution for the inequality is [tex]-8 < x < -4[/tex]