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QUESTION IMAGE

solve for x and graph the solution on the number line below. -10x > -90…

Question

solve for x and graph the solution on the number line below. -10x > -90 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. So, $\frac{-10x}{-10}<\frac{-90}{-10}$.

Step2: Simplify

Simplifying the left - hand side gives $x$, and simplifying the right - hand side gives $9$. So, $x < 9$.

Answer:

Inequality Notation: $x<9$

To graph on the number line: Place an open circle at $9$ (because $9$ is not included in the solution, since the inequality is $x < 9$) and draw an arrow to the left of $9$ towards the negative infinity.