Question

question
solve the inequality and graph the solution on the line provided.
3x + 11 ≤ 35
answer attempt 1 out of 5.
< > ≤ ≥ or
inequality notation:
number line:

Explanation:

Step1: Subtract 11 from both sides

To isolate the term with \( x \), we subtract 11 from both sides of the inequality \( 3x + 11 \leq 35 \). This gives us \( 3x + 11 - 11 \leq 35 - 11 \), which simplifies to \( 3x \leq 24 \).

Step2: Divide both sides by 3

Next, we divide both sides of the inequality \( 3x \leq 24 \) by 3 to solve for \( x \). So, \( \frac{3x}{3} \leq \frac{24}{3} \), which simplifies to \( x \leq 8 \).

Answer:

Inequality Notation: \( x \leq 8 \)
For the number line: We would draw a closed circle at 8 (since the inequality is "less than or equal to") and shade to the left of 8 to represent all values of \( x \) that satisfy the inequality.