Question

solve for x and graph the solution on the number line below.
-40 ≥ 4x
answer attempt 1 out of 2
<, >, ≤, ≥, or
inequality notation:
number line:
number line with -12, -10, -8, -6, -4, -2, 0, 2, 4, 6, 8, 10, 12
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Explanation:

Step1: Divide both sides by 4

To solve for \( x \) in the inequality \( -40 \geq 4x \), we divide both sides by 4. Since 4 is positive, the direction of the inequality sign remains the same.
\[
\frac{-40}{4} \geq \frac{4x}{4}
\]

Step2: Simplify both sides

Simplifying the left - hand side \( \frac{-40}{4}=-10 \) and the right - hand side \( \frac{4x}{4} = x \). So we get \( x\leq - 10 \).

Answer:

Inequality Notation: \( x\leq - 10 \)

For the number line graph: We draw a closed circle at \( x = - 10 \) (because the inequality is "less than or equal to") and shade the line to the left of \( - 10 \) (since \( x \) can be any number less than or equal to \( - 10 \)).