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Popular >

3|x-3|+5<41

Solution

3 ∣ x - 3 ∣ + 5 < 41

Solution

- 9 < x < 15

+1

Interval Notation

(- 9, 15)

Solution steps

3 ∣ x - 3 ∣ + 5 < 41

Move

5

to the right side

3 ∣ x - 3 ∣ < 36

Divide both sides by

3

∣ x - 3 ∣ < 12

Apply absolute rule: If

∣ u ∣ < a, a > 0

then

- a < u < a

- 12 < x - 3 < 12

x - 3 > - 12 and x - 3 < 12

x > - 9 and x < 15

Merge Overlapping Intervals

- 9 < x < 15

Popular Examples

factor 2x^2-3x-5 factor

2 x^{2} - 3 x - 5

simplify (-7)^2 simplify

(- 7)^{2}

2 a - 3 < 5

x^{2} - 9 x + 24 = 0

- x \leq 2

Frequently Asked Questions (FAQ)

What is 3|x-3|+5<41 ?
The solution to 3|x-3|+5<41 is -9<x<15