Final answer to the problem
$x<\frac{5}{24}$
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Step-by-step Solution
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1
Divide $-1$ by $2$
$\frac{1}{2}\left(x-3\right)-4\left(2x-\frac{1}{2}\right)>-3\left(x-1\right)+\frac{3}{4}\left(2x-5\right)$
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$\frac{1}{2}\left(x-3\right)-4\left(2x-\frac{1}{2}\right)>-3\left(x-1\right)+\frac{3}{4}\left(2x-5\right)$
Learn how to solve problems step by step online. Solve the inequality 1/2(x-3)-4(2x+-1/2)>-3(x-1)+3/4(2x-5). Divide -1 by 2. Multiply the single term \frac{1}{2} by each term of the polynomial \left(x-3\right). Multiply the single term -4 by each term of the polynomial \left(2x-\frac{1}{2}\right). Add the values -\frac{3}{2} and 2.
Final answer to the problem
$x<\frac{5}{24}$