What is |2x-3|<4-2x ?

The solution to |2x-3|<4-2x is x< 7/4

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|2x-3|<4-2x

∣ 2 x - 3 ∣ < 4 - 2 x

x < \frac{7}{4}

Interval Notation

(- \infty, \frac{7}{4})

Decimal Notation

x < 1.75

Solution steps

∣ 2 x - 3 ∣ < 4 - 2 x

Find positive and negative intervals

x < \frac{3}{2}, x \geq \frac{3}{2}

Solve the inequality for each interval

x < \frac{3}{2} or \frac{3}{2} \leq x < \frac{7}{4}

Merge Overlapping Intervals

x < \frac{7}{4}

5 x - 10 > - 26

4 v^{2} - 20 v = 0

\frac{- 8 - 7}{2 - ( - 4 )}

x^{2} - 9 > 0

\frac{5}{6} + \frac{7}{8}