Question

what value of x makes the equation true?
2x + 3 ≤ 13
x

Explanation:

Step1: Subtract 3 from both sides

To isolate the term with \( x \), we subtract 3 from both sides of the inequality \( 2x + 3 \leq 13 \). This gives us \( 2x + 3 - 3 \leq 13 - 3 \), which simplifies to \( 2x \leq 10 \).

Step2: Divide both sides by 2

Next, we divide both sides of the inequality \( 2x \leq 10 \) by 2 to solve for \( x \). This gives us \( \frac{2x}{2} \leq \frac{10}{2} \), which simplifies to \( x \leq 5 \).

Answer:

\( x \leq 5 \) (any value of \( x \) less than or equal to 5 will make the inequality true, for example, \( x = 5 \), \( x = 4 \), etc.)