Question

Solve.
-2/5x-9<9/10
Show all the steps that you use to solve this problem

Answer 1

To solve the inequality, we can start by isolating the variable x.

First, let's simplify both sides of the inequality:

-2/5x - 9 < 9/10

Considering the term -2/5x, we can multiply both sides of the inequality by -5/2 to eliminate the fraction.

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

This simplifies to:

x + 45/2 > -45/4

Next, we can subtract 45/2 from both sides of the inequality:

x + 45/2 - 45/2 > -45/4 - 45/2

This simplifies to:

x > -135/4 - 90/4

Combining the numerators of both fractions:

x > -225/4

Thus, the solution to the inequality is:

x > -225/4