To solve this inequality, first multiply all parts by 5 to get rid of the denominators:
-5 < 15 - 2x < 45
Next, simplify the inequality:
-5 < 15 - 2x and 15 - 2x < 45
Solve each part separately:
-5 < 15 - 2x-20 < -2x10 > x
15 - 2x < 45-2x < 30x > -15
Therefore, the solution to the inequality is -15 < x < 10.
To solve this inequality, first multiply all parts by 5 to get rid of the denominators:
-5 < 15 - 2x < 45
Next, simplify the inequality:
-5 < 15 - 2x and 15 - 2x < 45
Solve each part separately:
-5 < 15 - 2x
-20 < -2x
10 > x
15 - 2x < 45
-2x < 30
x > -15
Therefore, the solution to the inequality is -15 < x < 10.