Question

solve for x and graph the solution on the number line below. -10x > -90 answer < > ≤ ≥ or inequality notation: number line:

Explanation:

Step1: Divide both sides by -10

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

Step2: Simplify the expressions

$x < 9$.

Answer:

$<$; $x<9$
(For graphing on number - line: Draw a number line. Mark a open circle at 9 (open because the inequality is $<$ not $\leq$) and shade the line to the left of 9 to represent all the values of $x$ that satisfy the inequality.)