What is |7x-2|>3x-5 ?

The solution to |7x-2|>3x-5 is True for all x

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|7x-2|>3x-5

∣ 7 x - 2 ∣ > 3 x - 5

True for all x

Interval Notation

(- \infty, \infty)

Solution steps

∣ 7 x - 2 ∣ > 3 x - 5

Find positive and negative intervals

x < \frac{2}{7}, x \geq \frac{2}{7}

Solve the inequality for each interval

x < \frac{2}{7} or x \geq \frac{2}{7}

Merge Overlapping Intervals

True for all x

- x^{2} - 9 = 0

22 x - 38 = 16 x - 98

\frac{1}{2} x + 7 = \frac{5}{6} x

2 (- 1 + 5 k) + 4 k = 6 (5 + 2 k)

θ = 1.1 \cdot 4^{4} - 4^{3}