Question

name:

1. solve the inequality and graph its solution

2x + 4 ≥ 24
4 4

Explanation:

Step1: Subtract 4 from both sides

To isolate the term with \( x \), we subtract 4 from both sides of the inequality \( 2x + 4 \geq 24 \). This gives us \( 2x + 4 - 4 \geq 24 - 4 \), which simplifies to \( 2x \geq 20 \).

Step2: Divide both sides by 2

Next, we divide both sides of the inequality \( 2x \geq 20 \) by 2 to solve for \( x \). So, \( \frac{2x}{2} \geq \frac{20}{2} \), which simplifies to \( x \geq 10 \).

Answer:

The solution to the inequality \( 2x + 4 \geq 24 \) is \( x \geq 10 \). To graph this solution, we draw a number line, place a closed circle at 10 (since the inequality is "greater than or equal to"), and shade the region to the right of 10.