Respuesta :

the answer for the following inequality is M < 12
Itz5151

Step-by-step explanation:

Given:

[tex] \cfrac{m - 8}{2} < 2 \: \: \: \: \: ...1[/tex]

[tex] \cfrac{3m + 1}2 > - 1 \: \: \: \: \: ...2[/tex]

Inequality 1:

Simplify:

  • 1/2 m - 4 < 2

Add 4 to both sides:

  • 1/2 m - 4 + 4 < 2+4
  • 1/2 m < 6

Multiply both sides by 2:

  • 1/2 m * 2 < 6*2
  • m < 12

Hence,m < 8

Inequality 2:

[tex] \cfrac{3m + 1}2 > - 1[/tex]

This inequality can't be solved because the absolute values can't be less than 0,and can't be negative.

  • No solutions.