Question

Solve the following inequalities.- 10 -6x > 26b.- 10 + 6x > - 46

Answer 1

Part A

$\begin{gathered} -10-6x>26 \\ -6x>26+10 \\ -6x>36 \\ \text{Divide both sides by -6} \\ x<\frac{36}{-6} \\ x<-6 \end{gathered}$

Part B

$\begin{gathered} -10+6x>-46 \\ 6x>-46+10 \\ 6x>-36 \\ \text{Divide both sides by }6 \\ x>\frac{-36}{6} \\ x>-6 \end{gathered}$