Solve 1/3 x/2 < 5/6 - (2x)/3

Evaluate

\frac{1}{3} \times \frac{x}{2} < \frac{5}{6} - \frac{2 x}{3}

Multiply the terms

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\frac{x}{6} < \frac{5}{6} - \frac{2 x}{3}

Multiply both sides of the inequality by 6

\frac{x}{6} \times 6 < (\frac{5}{6} - \frac{2 x}{3}) \times 6

Multiply the terms

x < (\frac{5}{6} - \frac{2 x}{3}) \times 6

Multiply the terms

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x < 5 - 4 x

Move the variable to the left side

x + 4 x < 5

Add the terms

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5 x < 5

Divide both sides

\frac{5 x}{5} < \frac{5}{5}

Divide the numbers

x < \frac{5}{5}

Solution

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x < 1

Alternative Form

x \in (- \infty, 1)

Solve the inequality