Use both the addition and multiplication properties of inequality to solve the inequality and graph the set on a number line. \( -4 x-22>10 \) The solution set is \( \square \). (Type your answer in interval notation.)

Solve the equation \( -4x-22>10 \). Solve the inequality by following steps: - step0: Solve for \(x\): \(-4x-22>10\) - step1: Move the constant to the right side: \(-4x>10+22\) - step2: Add the numbers: \(-4x>32\) - step3: Change the signs: \(4x<-32\) - step4: Divide both sides: \(\frac{4x}{4}<\frac{-32}{4}\) - step5: Divide the numbers: \(x<-8\) The solution to the inequality \( -4x-22>10 \) is \( x<-8 \). To graph the solution set on a number line, we need to shade the region to the left of -8. The solution set in interval notation is \( (-\infty, -8) \).