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QUESTION IMAGE

solve for x and graph the solution on the number line below. -10x ≥ 50 …

Question

solve for x and graph the solution on the number line below. -10x ≥ 50 answer attempt 1 out of 2 < > ≤ ≥ or inequality notation: number line: submit answer

Explanation:

Step1: Divide both sides by -10

When dividing an inequality by a negative number, the inequality sign flips.
$$\frac{-10x}{-10} \leq \frac{50}{-10}$$

Step2: Simplify

Simplify the left - hand side to get \(x\) and the right - hand side to get \(-5\).
$$x \leq - 5$$

Answer:

Inequality Notation: \(x \leq - 5\)

For the number line: Place a closed circle at \(-5\) (because the inequality is \(\leq\)) and shade to the left (towards the negative direction).