Answer: x < [tex]\frac{140}{27}[/tex]
Step-by-step explanation:
[tex]\frac{6}{5}x - 12 < 2 - \frac{3}{2}x[/tex]
[tex]10(\frac{6}{5}x - 12) < 10(2 - \frac{3}{2}x)[/tex]
2(6)x - 10(12) < 10(2) - 5(3)x
12x - 120 < 20 - 15x
+15x +15x
27x - 120 < 20
+120 +120
27x < 140
[tex]\frac{27x}{27} < \frac{140}{27}[/tex]
x < [tex]\frac{140}{27}[/tex]