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Popular >

|5-2x|<7

Solution

∣ 5 - 2 x ∣ < 7

Solution

- 1 < x < 6

+1

Interval Notation

(- 1, 6)

Solution steps

∣ 5 - 2 x ∣ < 7

Apply absolute rule: If

∣ u ∣ < a, a > 0

then

- a < u < a

- 7 < 5 - 2 x < 7

5 - 2 x > - 7 and 5 - 2 x < 7

x < 6 and x > - 1

Merge Overlapping Intervals

- 1 < x < 6

Popular Examples

-8X-4+6X=5X+11-4X

- 8 X - 4 + 6 X = 5 X + 11 - 4 X

simplify log_{3}(27^4)simplify

lo g_{3} (2 7^{4})

factor 4x-16y factor

4 x - 16 y

factor 18v^9+33v^8+14v^7 factor

18 v^{9} + 33 v^{8} + 14 v^{7}

x^{2} - x + 3 = 3

Frequently Asked Questions (FAQ)

What is |5-2x|<7 ?
The solution to |5-2x|<7 is -1<x<6