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Popular >

|1-2x|<7

Solution

∣ 1 - 2 x ∣ < 7

Solution

- 3 < x < 4

+1

Interval Notation

(- 3, 4)

Solution steps

∣ 1 - 2 x ∣ < 7

Apply absolute rule: If

∣ u ∣ < a, a > 0

then

- a < u < a

- 7 < 1 - 2 x < 7

1 - 2 x > - 7 and 1 - 2 x < 7

x < 4 and x > - 3

Merge Overlapping Intervals

- 3 < x < 4

Popular Examples

simplify 16^4 simplify

1 6^{4}

\frac{9 + x}{9} = \frac{7}{3}

factor 4k^2(m+1)^2+13k(m+1)^2+3(m+1)^2 factor

4 k^{2} (m + 1)^{2} + 13 k (m + 1)^{2} + 3 (m + 1)^{2}

simplify 1/20+1/40 simplify

\frac{1}{20} + \frac{1}{40}

- 9 x > - 36

Frequently Asked Questions (FAQ)

What is |1-2x|<7 ?
The solution to |1-2x|<7 is -3<x<4