How do you solve - 2/5x - 9<9/10

x > - 99/4

Step-by-step explanation:

I must assume that you meant (-2/5) x - 9<9/10.

This inequality has 3 terms. The LCD is 10. Multiply each term by 10 and reduce the result:

10 (-2/5) x - 10 (9) < 10 (9/10), or:

-4x - 90 < 9

Adding 90 to both sides results in:

-4x < 99

Here we must divide by a negative number (that is, by - 4). This requires reversing the direction of the inequality sign:

x > - 99/4 is the final solution.