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QUESTION IMAGE

solve the inequality and graph the solution. - 56 ≤ x - 50. plot the en…

Question

solve the inequality and graph the solution. - 56 ≤ x - 50. 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: Isolate the variable a

Add 50 to both sides of the inequality.
$-56 + 50\leq a-50 + 50$

Step2: Simplify the inequality

$-6\leq a$, which can also be written as $a\geq - 6$.

Answer:

The solution of the inequality is $a\geq - 6$. To graph it, place a closed - circle at $-6$ on the number line (because the inequality is $\geq$) and draw a ray to the right of $-6$ towards positive infinity.