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QUESTION IMAGE

solve the inequality 10w - 10 < 10 and graph the solution. plot the end…

Question

solve the inequality 10w - 10 < 10 and graph the solution. plot the endpoints. select an endpoint to change it from closed to open. select the middle of the segment, ray, or line to delete it.

Explanation:

Step1: Solve the inequality

Add 10 to both sides of $10w - 10<10$.
$10w- 10 + 10<10 + 10$
$10w<20$
Then divide both sides by 10: $w < 2$.

Step2: Graph the solution

On the number - line, since $w < 2$ is a strict inequality (less than, not less than or equal to), we use an open - circle at $w = 2$ and draw a ray to the left to represent all values of $w$ that are less than 2.

Answer:

The solution of the inequality is $w < 2$. On the number - line, place an open - circle at 2 and draw a ray to the left.