Answer: x < [tex]\frac{54}{11}[/tex]
Step-by-step explanation:
5 - [tex]\frac{2x}{3} > \frac{1}{2} + \frac{x}{4}[/tex] Start by multiply both sides by 3
3(5 - [tex]\frac{2x}{3}[/tex]) > 3(1/2 + x/4)
15 - 2x > 3/2 + 3x/4 Now multiply both sides by
4(15-2x ) > 4(3/2 + 3x/4)
60 - 8x > 6 + 3x Now add 8x to both sides
+8x +8x
60 > 6 + 11x Subtract 6 from both sides
-6 -6
54 > 11x Divide both sides 11
54/11 > x
x < 54/11
