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Popular >

|2x-2|<6

Solution

∣ 2 x - 2 ∣ < 6

Solution

- 2 < x < 4

+1

Interval Notation

(- 2, 4)

Solution steps

∣ 2 x - 2 ∣ < 6

Apply absolute rule: If

∣ u ∣ < a, a > 0

then

- a < u < a

- 6 < 2 x - 2 < 6

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

x > - 2 and x < 4

Merge Overlapping Intervals

- 2 < x < 4

Popular Examples

simplify 4/9*1/4 simplify

\frac{4}{9} \cdot \frac{1}{4}

factor 36a+24 factor

36 a + 24

(x-16)/4 >= (x-8)/6+1/12

\frac{x - 16}{4} \geq \frac{x - 8}{6} + \frac{1}{12}

simplify 1.05^3 simplify

1.0 5^{3}

factor x^2-18x+72 factor

x^{2} - 18 x + 72

Frequently Asked Questions (FAQ)

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