Question

1/2(4x-2)-2/3(6x+9<4

Answer 1

$\frac{1}{2}$(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 > $\frac{1}{2}$