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QUESTION IMAGE

solve for ( x ) and graph the solution on the number line below. ( -10x…

Question

solve for ( x ) and graph the solution on the number line below.

( -10x>-90 )

answer attempt 1 out of 2

inequality notation:

number line:

Explanation:

Step1: Divide both sides by -10

When dividing an inequality by a negative number, the inequality sign flips.
$$\frac{-10x}{-10}<\frac{-90}{-10}$$

Step2: Simplify

Simplify the fractions.
$$x < 9$$

Answer:

Inequality Notation: \(x < 9\)
For the number line: Draw an open circle at \(9\) (since \(x\) is not equal to \(9\)) and shade the line to the left of \(9\) (because \(x\) is less than \(9\)).