\(\frac{1}{2}\)(4x - 2) - \(\frac{2}{3}\)(6x + 9) < 4 Use the Distributive Property
2x - 1 - 4x + 6 < 4 Combine like terms (-1 and 6)
2x + 5 - 4x < 4 Combine (2x and -4x)
-2x + 5 < 4 Subtract 5 from both sides
-2x < -1 Divide both sides by -2, don't forget to flip the inequality sign after dividing by a negative
x > \(\frac{1}{2}\)
