Question

Solve and show your work
-2/5x - 9 < 9/10

Answer 1

To solve the inequality, we need to isolate the variable "x" on one side of the inequality.

First, let's simplify the right side of the inequality by finding a common denominator for 9/10:
-2/5x - 9 < 9/10
-2/5x < 9/10 + 9/10
-2/5x < 18/10

Next, let's multiply both sides of the inequality by -5 to eliminate the fraction:
-5 * (-2/5x) > -5 * (18/10)
2x > -90/10
2x > -9

Lastly, divide both sides of the inequality by 2 to solve for "x":
2x/2 > -9/2
x > -4.5

Therefore, the solution to the inequality is x > -4.5.