Question

solve the inequality and graph the solution on the line provided.
13 + 7x ≤ 69
answer attempt 1 out of 2
< > ≤ ≥ or
inequality notation:
number line:
-12 -10 -8 -6 -4 -2 0 2 4 6 8 10 12
click and drag to plot line.
submit answer

Explanation:

Step1: Subtract 13 from both sides

To isolate the term with \( x \), we subtract 13 from both sides of the inequality \( 13 + 7x \leq 69 \). This gives us \( 13 + 7x - 13 \leq 69 - 13 \), which simplifies to \( 7x \leq 56 \).

Step2: Divide both sides by 7

Next, we divide both sides of the inequality \( 7x \leq 56 \) by 7 to solve for \( x \). So, \( \frac{7x}{7} \leq \frac{56}{7} \), which simplifies to \( x \leq 8 \).

Answer:

Inequality Notation: \( x \leq 8 \)
(For the number line: Plot a closed circle at 8 and draw an arrow to the left to represent all numbers less than or equal to 8.)