Question

solve for x and graph the solution on the number line below.

x + 4 ≤ -2

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: Solve the inequality

To solve \( x + 4 \leq -2 \), subtract 4 from both sides.
\( x + 4 - 4 \leq -2 - 4 \)
Simplify: \( x \leq -6 \)

Step2: Graph on number line

For \( x \leq -6 \), we use a closed dot at -6 (since the inequality is "less than or equal to") and shade to the left of -6 on the number line.

Answer:

Inequality Notation: \( x \leq -6 \)
(For the number line: Place a closed circle at -6 and draw a line extending to the left from -6.)