Question

1. solve and graph the inequality. show all steps.

11x - 9 > 13 or - 4x - 4 > 8

Explanation:

Step1: Solve \(11x - 9>13\)

Add \(9\) to both sides:
\(11x-9 + 9>13 + 9\)
\(11x>22\)
Divide both sides by \(11\):
\(x > 2\)

Step2: Solve \(-4x-4>8\)

Add \(4\) to both sides:
\(-4x-4 + 4>8 + 4\)
\(-4x>12\)
Divide both sides by \(-4\) and reverse the inequality sign:
\(x<-3\)

Answer:

The solution of the compound inequality \(11x - 9>13\) or \(-4x - 4>8\) is \(x < - 3\) or \(x>2\). On the number - line, we have an open circle at \(x = - 3\) and shade to the left of \(x=-3\), and an open circle at \(x = 2\) and shade to the right of \(x = 2\).