Answer :
Answer:
[tex]\boxed {x > -\frac{10}{7}}[/tex]
Step-by-step explanation:
Solve the given inequality:
[tex]2(x - 1) - 4(x + 2) < 5x[/tex]
-Use Distributive Property:
[tex]2(x - 1) - 4(x + 2) < 5x[/tex]
[tex]2x - 2 - 4x - 8 < 5x[/tex]
-Combine like terms:
[tex]2x - 2 - 4x - 8 < 5x[/tex]
[tex]-2x - 10 < 5x[/tex]
-Subtract both sides by [tex]5x[/tex]:
[tex]-2x - 10 - 5x < 5x - 5x[/tex]
[tex]-7x - 10 < 0[/tex]
-Add both sides by [tex]10[/tex]:
[tex]-7x - 10 + 10 < + 10[/tex]
[tex]-7x < 10[/tex]
-When you are dividing a integer by a negative integer, the inequality sign would change. So, divide both sides by [tex]-7[/tex]:
[tex]\frac{-7x}{-7} < \frac{10}{-7}[/tex]
[tex]\boxed {x > -\frac{10}{7}}[/tex] (final answer)