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Popular >

|7x-7|<21

Solution

∣ 7 x - 7 ∣ < 21

Solution

- 2 < x < 4

+1

Interval Notation

(- 2, 4)

Solution steps

∣ 7 x - 7 ∣ < 21

Apply absolute rule: If

∣ u ∣ < a, a > 0

then

- a < u < a

- 21 < 7 x - 7 < 21

7 x - 7 > - 21 and 7 x - 7 < 21

x > - 2 and x < 4

Merge Overlapping Intervals

- 2 < x < 4

Popular Examples

7 x + 1 < 9

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297

Frequently Asked Questions (FAQ)

What is |7x-7|<21 ?
The solution to |7x-7|<21 is -2<x<4