Question

1. solve and graph the solution for: - 4x < 24 or 3x + 5 < - 19

Explanation:

Step1: Solve -4x < 24

Divide both sides by -4 and reverse the inequality sign.
$x>-6$

Step2: Solve 3x + 5 < - 19

Subtract 5 from both sides: $3x<-19 - 5$, so $3x<-24$.
Then divide both sides by 3: $x < - 8$

Answer:

The solution is $x>-6$ or $x < - 8$. On a number - line, we have an open circle at - 6 and shade to the right for $x>-6$, and an open circle at - 8 and shade to the left for $x < - 8$.