Question

solve the inequality and graph the solution on the line provided.
11 + 8x ≤ 43
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.

Explanation:

Step1: Subtract 11 from both sides

To isolate the term with \( x \), we subtract 11 from both sides of the inequality \( 11 + 8x \leq 43 \). This gives us \( 11 + 8x - 11 \leq 43 - 11 \), which simplifies to \( 8x \leq 32 \).

Step2: Divide both sides by 8

Next, we divide both sides of the inequality \( 8x \leq 32 \) by 8 to solve for \( x \). So, \( \frac{8x}{8} \leq \frac{32}{8} \), which simplifies to \( x \leq 4 \).

Answer:

Inequality Notation: \( x \leq 4 \)
For the number line: Plot a closed circle at 4 (since the inequality is "less than or equal to") and draw an arrow to the left to represent all numbers less than or equal to 4.