solve for d and graph the solution.\n|d - 985| ≥ 10\nclick two endpoints to graph a line segment, an…

solve for d and graph the solution.\n|d - 985| ≥ 10\nclick two endpoints to graph a line segment, an endpoint and an arrowhead to graph a ray, or two arrowheads to graph a line. to change endpoints from filled - in circles to empty circles, click on them.\n←\n950 955 960 965 970 975 980 985 990\nsubmit

solve for d and graph the solution.\n|d - 985| ≥ 10\nclick two endpoints to graph a line segment, an endpoint and an arrowhead to graph a ray, or two arrowheads to graph a line. to change endpoints from filled - in circles to empty circles, click on them.\n←\n950 955 960 965 970 975 980 985 990\nsubmit

Answer

Explanation:

Step1: Split absolute - value inequality

We know that if (|x|\geq a) ((a > 0)), then (x\geq a) or (x\leq - a). So for (|d - 985|\geq10), we have (d-985\geq10) or (d - 985\leq - 10).

Step2: Solve (d-985\geq10)

Add 985 to both sides of the inequality: (d-985 + 985\geq10+985), so (d\geq995).

Step3: Solve (d - 985\leq - 10)

Add 985 to both sides of the inequality: (d-985 + 985\leq - 10+985), so (d\leq975).

Answer:

The solution is (d\leq975) or (d\geq995). On the number - line, we graph a ray starting from 975 (filled - in circle) and going to the left, and a ray starting from 995 (filled - in circle) and going to the right.