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How do I solve this inequality?
5 − |2x + 5| ≤ 2
I can never remember how to split them in to 2 equations.
2 Answers
- KenLv 47 years ago
5 − |2x + 5| =< 2
set the absolute value = everything else
in this case --> subtract 5 and divide through by -1.... dividing by negative will flip the inequality
5 − |2x + 5| =< 2
− |2x + 5| =< -3
|2x + 5| => +3
now you have to split the absolute value to 2 problems
ex: |x| = 10.... then x=+10 or x=-10
one is easy and you just remove the absolute value symbol and solve
2x + 5 => +3
the other is found by removing the absolute value & switching both the inequality & the sign of the other side
2x + 5 =< -3
