Solve the compound inequality and choose the correct answer below.
-2x+9<13 or -3x-1>8
To solve the compound inequality, we will first solve each inequality separately.
For -2x + 9 < 13:
-2x + 9 < 13
Subtract 9 from both sides:
-2x < 4
Divide by -2 (since it's negative, flip the inequality sign):
x > -2
For -3x - 1 > 8:
-3x - 1 > 8
Add 1 to both sides:
-3x > 9
Divide by -3 (since it's negative, flip the inequality sign):
x < -3
So the solution to the compound inequality is:
-3 < x < -2
Therefore, the correct answer is: x lies between -3 and -2.