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QUESTION IMAGE

solve for x and graph the solution. -3 ≤ x - 18 < -2 plot the endpoints…

Question

solve for x and graph the solution. -3 ≤ x - 18 < -2 plot the endpoints. select an endpoint to change it from closed to open. select the middle of a segment, ray, or line to delete it.

Explanation:

Step1: Add 18 to all parts

Add 18 to each part of the compound - inequality $-3\leq x - 18\lt - 2$.
$-3+18\leq x-18 + 18\lt -2+18$

Step2: Simplify the expressions

Simplify the left - hand side, middle, and right - hand side expressions.
$15\leq x\lt16$

Answer:

The solution of the inequality is $15\leq x\lt16$. On the number line, a closed circle is placed at $x = 15$ (because $x$ can equal 15) and an open circle is placed at $x = 16$ (because $x$ cannot equal 16), and the line segment is drawn between them.