Question

Given: x + 2 <-5.Choose the solution set.OXIXER,<-7)OXIXERX <-3)OxIXER X<3)OXIXER X<7)

Answer 1

Solution

Given:

$-\frac{1}{2}x>4$

Solve for x

$\begin{gathered} -\frac{1}{2}x>4 \\ Crossmultiply \\ -x>4\times2 \\ -x>8 \\ Divide\text{ both sides by -1} \\ \frac{-x}{-1}<\frac{8}{-1} \\ x<-8 \end{gathered}$

Hence, the solution set is

$\lbrace x|x\in\Re,x<-8\rbrace$