You can
put this solution on YOUR website!
Q#1
3 < -5 - 2x < 9
Add +5 to all three sides:
3 < -5 - 2x < 9
+5 +5 +5
--------------------
8 < -2x < 14
Divide all three sides by -2, which reverses both
inequalities since we are dividing by a negative
number
8 -2x 14
---- > ----- > ----
-2 -2 -2
or -4 > x > -7
If you like you can write that in "mirror fashion" as
-7 < x < -4
Q#2 15<3x-3<24
15 < 3x - 3 < 24
Add +3 to all three sides:
15 < 3x - 3 < 24
+3 +3 +3
--------------------
18 < 3x < 27
Divide all three sides by 3, which DOES NOT reverse the
inequalities since we are dividing by a positive
number
18 3x 27
---- < ---- < ----
3 3 3
or 6 < x < 9
Edwin
