QuestionSolve the equations: 1) $\frac{5 x-3}{4}=\frac{2-4 x}{3}$ and 2) $\frac{1}{3}(x-2)-\frac{x}{2}>\frac{1}{6}$.

Studdy Solution
Multiply both sides of the inequality by - to solve for x. Remember that when you multiply or divide both sides of an inequality by a negative number, the direction of the inequality sign changes.
$$x < -5$$So, the solutions are $x = \frac{17}{31}$ and $x < -5$.