Question

solve and graph the following inequality: x/3-4<-2

Answer 1

Explanation

Step 1

solve the inequality:

$\begin{gathered} \frac{x}{3}-4<-2 \\ \text{add 4 in both sides} \\ \frac{x}{3}-4+4<-2+4 \\ \frac{x}{3}<2 \\ \text{Multiply both sides by 3} \\ \frac{x}{3}\cdot3<2\cdot3 \\ x<6 \end{gathered}$

Step 2

now, to graph

the solution is all real numbers smaller than 6,so

I hope this helps you