Question

solve for x and graph the solution on the number line below.
4x ≥ -32
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: Divide both sides by 4

To solve for \( x \) in the inequality \( 4x \geq -32 \), we divide both sides by 4 (since 4 is positive, the inequality sign remains the same).
\( \frac{4x}{4} \geq \frac{-32}{4} \)

Step2: Simplify both sides

Simplifying the left side gives \( x \), and simplifying the right side gives \( -8 \).
So we get \( x \geq -8 \)

Answer:

Inequality Notation: \( x \geq -8 \)
(For the number line: Place a closed circle at -8 and draw an arrow to the right, indicating all numbers greater than or equal to -8.)