Question

.solve for x and find the value ​

Answer 1

5 - 2x < 5.5 - (5/3)*x

5 - 5.5 < 2x - (5/3)*x

-0.5 < (1/3)*x

-1.5 < x

x > -1.5 —-> Answer

Answer 2

Given:

5 - 2x < 5 (1/2) - (5/3) x

⇒ 5 - 2x < (5/2) - (5/3) x

⇒ -2x < (-5/2) - (5/3)x

⇒ -2x + (5/3)x < (-5/2)

⇒ (-6x + 5x)/3 < (-5/2)

⇒ (-x/3) < (-5/2)

⇒ (-1/3)x < (-5/2)

⇒ (1/3)x > (5/2)

⇒ x > (15/2)

∴ Interval Notation : (15/2, ∞)

Hope it helps!