Question

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

Answer 1

Step-by-step explanation

Step 1

solve the inequality:

`\begin{gathered} (x)/(3)-4<-2 \\ \text{add 4 in both sides} \\ (x)/(3)-4+4<-2+4 \\ (x)/(3)<2 \\ \text{Multiply both sides by 3} \\ (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