Final Answer
$x\leq \frac{3}{2}$
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Step-by-step Solution
Problem to solve:
$\frac{2}{3}\cdot x-\frac{1}{2}\left(4x-1\right)\geq x+2\left(x-3\right)$
Specify the solving method
1
Multiply the single term $-\frac{1}{2}$ by each term of the polynomial $\left(4x-1\right)$
$\frac{2}{3}x-2x+\frac{1}{2}\geq x+2\left(x-3\right)$
2
Combining like terms $\frac{2}{3}x$ and $-2x$
$-\frac{4}{3}x+\frac{1}{2}\geq x+2\left(x-3\right)$
Learn how to solve one-variable linear inequalities problems step by step online.
$\frac{2}{3}x-2x+\frac{1}{2}\geq x+2\left(x-3\right)$
Learn how to solve one-variable linear inequalities problems step by step online. Solve the inequality 2/3x-1/2(4x-1)>=x+2(x-3). Multiply the single term -\frac{1}{2} by each term of the polynomial \left(4x-1\right). Combining like terms \frac{2}{3}x and -2x. Multiply the single term 2 by each term of the polynomial \left(x-3\right). Combining like terms x and 2x.
Final Answer
$x\leq \frac{3}{2}$