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2.1 question 11 solve the inequality and graph the solution on the numb…

Question

2.1 question 11
solve the inequality and graph the solution on the number line.
-10x > 250

Explanation:

Step1: Divide both sides by -10

When dividing an inequality by a negative number, the direction of the inequality sign changes. So, $\frac{- 10x}{-10}<\frac{250}{-10}$.

Step2: Simplify the expressions

$x < - 25$

To graph on the number - line:

  1. Locate - 25 on the number - line.
  2. Since $x$ is less than - 25, we use an open circle at - 25 (because $x

eq - 25$) and draw an arrow to the left to represent all the values of $x$ that satisfy the inequality.

Answer:

$x < - 25$; On the number - line, an open circle at - 25 and an arrow pointing to the left.