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Popular >

|5x-2|<6

Solution

∣ 5 x - 2 ∣ < 6

Solution

- \frac{4}{5} < x < \frac{8}{5}

+2

Interval Notation

(- \frac{4}{5}, \frac{8}{5})

Decimal Notation

- 0.8 < x < 1.6

Solution steps

∣ 5 x - 2 ∣ < 6

Apply absolute rule: If

∣ u ∣ < a, a > 0

then

- a < u < a

- 6 < 5 x - 2 < 6

5 x - 2 > - 6 and 5 x - 2 < 6

x > - \frac{4}{5} and x < \frac{8}{5}

Merge Overlapping Intervals

- \frac{4}{5} < x < \frac{8}{5}

Popular Examples

simplify sqrt(75/4)simplify

\frac{75}{4}

factor 169x^2-196y^2 factor

169 x^{2} - 196 y^{2}

- \frac{5}{8} (- 1)^{3}

4.3 r = 4.11 + 4.6 r

simplify 5/6+3/4+2/3 simplify

\frac{5}{6} + \frac{3}{4} + \frac{2}{3}

Frequently Asked Questions (FAQ)

What is |5x-2|<6 ?
The solution to |5x-2|<6 is -4/5 <x< 8/5