Question

solve for x and graph the solution on the number line below. -5x ≤ -20 answer attempt 1 out of 2 inequality notation: number line: number line with -12, -10, -8, -6, -4, -2, 0, 2, 4, 6, 8, 10, 12 submit answer

Explanation:

Step1: Divide both sides by -5

When dividing an inequality by a negative number, the inequality sign flips. So, divide both sides of \(-5x \leq -20\) by \(-5\):
\(\frac{-5x}{-5} \geq \frac{-20}{-5}\)

Step2: Simplify both sides

Simplifying the left side gives \(x\) and the right side gives \(4\). So we have \(x \geq 4\).

Answer:

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