Question

Resolving inequalities 6/5x-12<2-3/2x

Answer 1

Answer:  x < $\frac{140}{27}$

Step-by-step explanation:

$\frac{6}{5}x - 12 < 2 - \frac{3}{2}x$

$10(\frac{6}{5}x - 12) < 10(2 - \frac{3}{2}x)$

2(6)x - 10(12) < 10(2) - 5(3)x

 12x  -   120  <   20  -  15x

+15x                        +15x      

 27x   - 120  <   20

         +120    +120

27x              <  140

            $\frac{27x}{27} < \frac{140}{27}$

              x < $\frac{140}{27}$