Question

What value for x makes the following inequality true? -⅜x-2<-13+171.-182.-173.-164.-15

Answer 1

The value for x that makes the inequality true is

`x>-16`

Step-by-step explanation:

Given the inequality:

`-(3)/(8)x-2<-13+17`

Add 2 to both sides, we have:

`\begin{gathered} -(3)/(8)x-2+2<-13+17+2 \\ \\ -(3)/(8)x<6 \end{gathered}`

Multiply both sides by 8

`\begin{gathered} -3x<6*8 \\ \\ -3x<48 \end{gathered}`

Divide both sides by -3.

Note that this changes the inequality

`\begin{gathered} x>(48)/(-3) \\ \\ x>-16 \end{gathered}`