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QUESTION IMAGE

solve for x and graph the solution on the number line below. -90 > -9x …

Question

solve for x and graph the solution on the number line below. -90 > -9x answer attempt 1 out of 2 < > ≤ ≥ or inequality notation: number line:

Explanation:

Step1: Divide both sides by -9

When dividing an inequality by a negative number, the inequality sign flips. So, $\frac{-90}{-9}<\frac{-9x}{-9}$.

Step2: Simplify

Simplifying gives $10 < x$, which can be rewritten as $x>10$.

Answer:

Inequality Notation: $x > 10$

For the number line: Draw an open circle at $10$ (since $10$ is not included in the solution) and draw an arrow to the right (towards the larger numbers) to represent all values of $x$ greater than $10$.