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Popular >

9|m-8|-10<26

Solution

9 ∣ m - 8 ∣ - 10 < 26

Solution

4 < m < 12

+1

Interval Notation

(4, 12)

Solution steps

9 ∣ m - 8 ∣ - 10 < 26

Move

10

to the right side

9 ∣ m - 8 ∣ < 36

Divide both sides by

9

∣ m - 8 ∣ < 4

Apply absolute rule: If

∣ u ∣ < a, a > 0

then

- a < u < a

- 4 < m - 8 < 4

m - 8 > - 4 and m - 8 < 4

m > 4 and m < 12

Merge Overlapping Intervals

4 < m < 12

Popular Examples

v^{2} + 6 v - 7 = 0

∣ b ∣ = 6

5 < 3 x - 1 \leq 14

5 r - 2 = 6 r + 5

2-6x+2(3-x)=(x-3)5-3

2 - 6 x + 2 (3 - x) = (x - 3) 5 - 3

Frequently Asked Questions (FAQ)

What is 9|m-8|-10<26 ?
The solution to 9|m-8|-10<26 is 4<m<12