Solve the inequality for x.

-3/2x + 10 > 13
Simplify your answer as much as possible.

1 answer

To solve this inequality, we first need to isolate the variable x on one side of the inequality.
First, subtract 10 from both sides of the inequality to get rid of the constant term on the left side:
-3/2x + 10 - 10 > 13 - 10
-3/2x > 3
Next, multiply both sides of the inequality by -2/3 to eliminate the fraction:
(-2/3)(-3/2x) > (3)(-2/3)
x < -2

So the solution to the inequality is x < -2.