Answer:
r < -7 or r > 10
Step-by-step explanation:
-2|3 - 2r| < -34
|3 - 2r| > 17 (Note the inequality sign flips because we divide by negative)
Now we split it up into 2 inequalities :-
3 - 2r > 17
-2r > 14
r < -7 (answer)
and
3 - 2r < -17
-2r < -20
r > 10 (answer).
Answer:
r > 10 or r < - 7
Step-by-step explanation:
isolate the absolute value by dividing both sides by - 2
| 3 - 2r | > 17
Inequalities of the type | x | > a always have solutions of the form
x < -a OR x > a, hence
3-2r < - 17 or 3 - 2r > 17 ( subtract 3 from each interval )
- 2r < - 20 or - 2r > 14 ( divide both intervals by - 2 )
Remembering to reverse each inequality symbol as a result of dividing by a negative quantity.
r > 10 or r < - 7
