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QUESTION IMAGE

solve 5 < 2x + 5 < 13. graph the solution. the solution is □.

Question

solve 5 < 2x + 5 < 13. graph the solution.
the solution is □.

Explanation:

Step1: Subtract 5 from all parts

$5-5 < 2x + 5-5 < 13 - 5$
$0 < 2x<8$

Step2: Divide all parts by 2

$\frac{0}{2}<\frac{2x}{2}<\frac{8}{2}$
$0 < x < 4$

To graph, we use an open - circle at 0 and an open - circle at 4, and draw a line segment between them on the number line.

Answer:

$0 < x < 4$; The graph has an open - circle at 0, an open - circle at 4, and a line segment between them on the number line.