Question

question solve for x and graph the solution on the number line below. -3x < 27

Explanation:

Step1: Divide both sides by -3, reverse inequality

When dividing an inequality by a negative number, the inequality sign flips. So, divide both sides of \(-3x < 27\) by \(-3\):
\(\frac{-3x}{-3} > \frac{27}{-3}\)

Step2: Simplify both sides

Simplify the left side: \(\frac{-3x}{-3} = x\). Simplify the right side: \(\frac{27}{-3} = -9\). So we get \(x > -9\).

Answer:

The solution for \(x\) is \(x > -9\). To graph this on a number line, draw an open circle at \(-9\) (since \(x\) is not equal to \(-9\)) and shade the region to the right of \(-9\) to represent all values of \(x\) greater than \(-9\).