Question

Please help me solve this absolute equation:

|5t - 4| >= 16

The first answer, when the problem is in it's original state, is obviously t = 4 and I know the second answer needs to be -2.4, but how would I get to that so the answer is -2.4?

Answer 1

|5t - 4| ≥ 16

you will have
5t -4 ≥16 and 5t-4 ≤ -16
5t -4+4 ≥16+4 5t-4+4 ≤ -16+4
5t ≥20 5t ≤ -12
t ≥ 4 or t≤ -12/5

Answer 2

@oppulence, clear?

Answer 3

Yes, thank you.