Question

question
solve the inequality and graph the solution on the line provided.
4 + 3x ≤ 28
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 4 from both sides

To isolate the term with \( x \), we subtract 4 from both sides of the inequality \( 4 + 3x \leq 28 \). This gives us \( 4 + 3x - 4 \leq 28 - 4 \), 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 plot a closed circle at 8 (since the inequality is "less than or equal to") and draw a line to the left of 8 to represent all values of \( x \) that satisfy the inequality.