-2/5x-9<9/10 solve

Answer 1

To solve the inequality, we need to isolate the variable x.

Starting with the given inequality:

(-2/5)x - 9 < 9/10

First, let's add 9 to both sides of the inequality to eliminate the negative sign:

(-2/5)x < 9/10 + 9

Simplifying the right side:

(-2/5)x < 9/10 + 90/10

(-2/5)x < 99/10

Next, let's multiply both sides by -5/2 to get rid of the fraction:

(-5/2)(-2/5)x > (99/10)(-5/2)

This results in a change in direction of the inequality sign due to multiplying by a negative number:

x > -495/20

Simplifying the right side:

x > -99/4

Therefore, the solution to the inequality is:

x > -99/4.