What is |4-5x|>2x-1 ?

The solution to |4-5x|>2x-1 is x 1

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|4-5x|>2x-1

∣ 4 - 5 x ∣ > 2 x - 1

x < \frac{5}{7} or x > 1

Interval Notation

(- \infty, \frac{5}{7}) \cup (1, \infty)

Decimal Notation

x < 0.71428 \dots or x > 1

Solution steps

∣ 4 - 5 x ∣ > 2 x - 1

Find positive and negative intervals

x \leq \frac{4}{5}, x > \frac{4}{5}

Solve the inequality for each interval

x < \frac{5}{7} or x > 1

\frac{m + 7}{m ^{2} + 4 m - 21}

x^{2} + 3 x - 378

\frac{( 2 x ^{2} y ^{2} ) ^{4}}{y x ^{4} y ^{3}}

- 2 \cdot \frac{3}{2}

\frac{2}{4 - 2}