Question

Solve the inequality.

|r + 3| ≥ 7

Answer 1

My favourite...

for values of r + 3 ≥ 7, |r+3| = r+3
for values of r + 3 < 7, |r+3| = -(r+3) = -r-3

so for values of r ≥ 4, solve for r + 3 ≥ 7
so r ≥ 4. That is all values greater than equal to 4

for values of r < 4, solve for - r - 3 ≥ 7
-r ≥ 10
r ≤ -10
so all values less than or equal to -10

so to sum it up, the answer is r ≤ -10, and r ≥ 4

Answer 2

@psujono, if r = -9, the inequalify would still work..

Answer 3

Oh yeah, nvm