solve for u and graph the solution.\n|u + 60| > 40\nclick two endpoints to graph a line segment, an endpoint…

solve for u and graph the solution.\n|u + 60| > 40\nclick two endpoints to graph a line segment, an endpoint and an arrowhead to graph a ray, or\ntwo arrowheads to graph a line. to change endpoints from filled - in circles to empty circles,\nclick on them.

solve for u and graph the solution.\n|u + 60| > 40\nclick two endpoints to graph a line segment, an endpoint and an arrowhead to graph a ray, or\ntwo arrowheads to graph a line. to change endpoints from filled - in circles to empty circles,\nclick on them.

Answer

Explanation:

Step1: Solve the inequality (|u + 60|>40)

Recall the property of absolute - value inequalities: if (|x|>a) ((a>0)), then (x>a) or (x < - a). For (|u + 60|>40), we have two cases: Case 1: (u+60>40) Subtract 60 from both sides: (u+60 - 60>40 - 60), so (u>-20). Case 2: (u + 60<-40) Subtract 60 from both sides: (u+60-60<-40 - 60), so (u<-100).

Step2: Graph the solution

The solution of the inequality (|u + 60|>40) is (u<-100) or (u>-20). On the number - line:

  • For (u < - 100), we draw an arrow starting from an open circle at (u=-100) and pointing to the left.
  • For (u>-20), we draw an arrow starting from an open circle at (u = - 20) and pointing to the right.

Answer:

The solution of the inequality (|u + 60|>40) is (u<-100) or (u>-20). On the number - line, there is an open circle at (u=-100) with an arrow to the left and an open circle at (u=-20) with an arrow to the right.