Question

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

Answer 1

Answer:

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.