Question

Solve the inequality. Graph the solution.

$7(q+2)<-77$

Answer 1

Step 1 : Solve the inequality

We have,

$\Rightarrow 7(q+2)<-77$

$\Rightarrow \frac{7(q+2)}{7}>\frac{-77}{7}$ [ Divide by$7$ both sides ]

$\Rightarrow q+2<-11$

$\Rightarrow q+2–2<-11–2$ [ Subtract $2$ from both sides ]

$\therefore q<-13$

Step 2 : Solve the Graph

We have,

$\Rightarrow q<-13$

So, the graph is

Hence, the required solution is $q<-13$ and the required graph is shown above.