What is -2|3x-2|>-10 ?

The solution to -2|3x-2|>-10 is -1<x< 7/3

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-2|3x-2|>-10

- 2 ∣ 3 x - 2 ∣ > - 10

- 1 < x < \frac{7}{3}

Interval Notation

(- 1, \frac{7}{3})

Decimal Notation

- 1 < x < 2.33333 \dots

Solution steps

- 2 ∣ 3 x - 2 ∣ > - 10

Multiply both sides by

- 1

2 ∣ 3 x - 2 ∣ < 10

Divide both sides by

2

∣ 3 x - 2 ∣ < 5

Apply absolute rule: If

∣ u ∣ < a, a > 0

then

- a < u < a

- 5 < 3 x - 2 < 5

3 x - 2 > - 5 and 3 x - 2 < 5

x > - 1 and x < \frac{7}{3}

Merge Overlapping Intervals

- 1 < x < \frac{7}{3}

9 x^{2} - 3 = 46

- 3 x - 3 y - 3 z

- 3 - 0

- \frac{7}{12} + \frac{5}{8}

(7 x^{3})^{2}