Question

solve the inequality and graph the solution.
3x < - 12
choose the correct graph below.
the solution is
(type an inequality)

Explanation:

Step1: Isolate the variable x

Divide both sides of \(3x<-12\) by 3. So, \(\frac{3x}{3}<\frac{-12}{3}\).

Step2: Simplify the inequality

We get \(x < - 4\). On a number - line graph, since \(x\) is less than (not less than or equal to) \(-4\), we use an open - circle at \(-4\) and the arrow points to the left to represent all numbers less than \(-4\).

Answer:

The solution is \(x < - 4\). The correct graph is the one with an open - circle at \(-4\) and an arrow pointing to the left.