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Popular >

3|m+7|-9<30

Solution

3 ∣ m + 7 ∣ - 9 < 30

Solution

- 20 < m < 6

+1

Interval Notation

(- 20, 6)

Solution steps

3 ∣ m + 7 ∣ - 9 < 30

Move

9

to the right side

3 ∣ m + 7 ∣ < 39

Divide both sides by

3

∣ m + 7 ∣ < 13

Apply absolute rule: If

∣ u ∣ < a, a > 0

then

- a < u < a

- 13 < m + 7 < 13

m + 7 > - 13 and m + 7 < 13

m > - 20 and m < 6

Merge Overlapping Intervals

- 20 < m < 6

Popular Examples

4 x^{3} > - 12 x^{2}

4/(x+1)< 2/(x+3)

\frac{4}{x + 1} < \frac{2}{x + 3}

x^{3} \geq 2 x^{2}

factor 343y^3-216 factor

343 y^{3} - 216

factor 3y+6x factor

3 y + 6 x

Frequently Asked Questions (FAQ)

What is 3|m+7|-9<30 ?
The solution to 3|m+7|-9<30 is -20<m<6