Question

solve each inequality and graph its solution

1. ( 2x + 4 geq 24 )

Explanation:

Step1: Subtract 4 from both sides

$$2x+4 - 4\geq24 - 4$$
$$2x\geq20$$

Step2: Divide both sides by 2

$$\frac{2x}{2}\geq\frac{20}{2}$$
$$x\geq10$$

Answer:

The solution of the inequality \(2x + 4\geq24\) is \(x\geq10\). On the number - line, we draw a closed circle at \(x = 10\) (because the inequality includes equality, i.e., \(\geq\)) and shade to the right of \(10\) to represent all values of \(x\) that satisfy the inequality.