Answer :

The solution to the inequality -|x-9/5+13/15| ≥ 7 is x ≥ 14/15 or x < 14/15.

What is the solution of the inequality?

The solution to the inequality: -|x-9/5+13/15| ≥ 7 is solved in two ways:

  1. when the expression inside the absolute value is positive and
  2. when it is negative.

Case 1: (x-9/5+13/15) ≥ 0

x - 9/5 + 13/15 ≥ 0

x - 9/5 + 13/15 ≥ 0

15x - 27 + 13 ≥ 0

15x - 14 ≥ 0

15x ≥ 14

x ≥ 14/15

Case 2: (x-9/5+13/15) < 0

x - 9/5 + 13/15 < 0

x - 9/5 + 13/15 < 0

15x - 27 + 13 < 0

15x - 14 < 0

15x < 14

x < 14/15

Therefore, the solutions from both cases give; x ≥ 14/15 or x < 14/15

Learn more about inequalities at: https://brainly.com/question/25275758

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