Question

question solve the inequality and graph the solution on the line provided. (2x - 13 leq 1) answer attempt 1 out of 2 inequality notation: number line: number line with numbers

Explanation:

Step1: Add 13 to both sides

To isolate the term with \( x \), we add 13 to both sides of the inequality \( 2x - 13 \leq 1 \). This gives us \( 2x - 13 + 13 \leq 1 + 13 \), which simplifies to \( 2x \leq 14 \).

Step2: Divide both sides by 2

To solve for \( x \), we divide both sides of the inequality \( 2x \leq 14 \) by 2. This gives us \( \frac{2x}{2} \leq \frac{14}{2} \), which simplifies to \( x \leq 7 \).

Answer:

Inequality Notation: \( x \leq 7 \)
For the number line: Draw a closed circle at 7 (since the inequality is "less than or equal to") and shade the line to the left of 7 to represent all values of \( x \) that satisfy the inequality.