Question

1. ( 4x + 9 < 5 )

Explanation:

Step1: Subtract 9 from both sides

$$4x+9 - 9<5 - 9$$
$$4x<-4$$

Step2: Divide both sides by 4

$$\frac{4x}{4}<\frac{-4}{4}$$
$$x < - 1$$

Answer:

The solution of the inequality \(4x + 9<5\) is \(x < - 1\). On the number - line, we draw an open circle at \(x=-1\) (because the inequality is strict, i.e., \(x
eq - 1\)) and shade the part of the number - line to the left of \(x =-1\).