Question

solve the linear inequality for x. graph your answer on the number line. then write the solution in inequality notation.

• 9 < - \frac{x}{2}-7

show your work here.
hint: to add infinity (∞), type \infinity\

Explanation:

Step1: Add 7 to both sides

$-3 + 7<-\frac{x}{2}-7 + 7$
$4<-\frac{x}{2}$

Step2: Multiply both sides by -2 and reverse the inequality sign

$4\times(-2)>-\frac{x}{2}\times(-2)$
$-8 > x$ or $x < - 8$

Answer:

The solution in inequality notation is $x < - 8$. On the number - line, you would have an open circle at - 8 and an arrow pointing to the left.