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Popular >

5|x-1|+5<40

Solution

5 ∣ x - 1 ∣ + 5 < 40

Solution

- 6 < x < 8

+1

Interval Notation

(- 6, 8)

Solution steps

5 ∣ x - 1 ∣ + 5 < 40

Move

5

to the right side

5 ∣ x - 1 ∣ < 35

Divide both sides by

5

∣ x - 1 ∣ < 7

Apply absolute rule: If

∣ u ∣ < a, a > 0

then

- a < u < a

- 7 < x - 1 < 7

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

x > - 6 and x < 8

Merge Overlapping Intervals

- 6 < x < 8

Popular Examples

2 x^{2} + 6 x + 3 = 0

t^{2} + 6 t = 16

2 x^{2} - 9 x = 5

7 x^{2} - 34 x - 5 = 0

x^{2} - 12 x + 12 = 0

Frequently Asked Questions (FAQ)

What is 5|x-1|+5<40 ?
The solution to 5|x-1|+5<40 is -6<x<8