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Popular >

10|-2n+4|-5<15

Solution

10 ∣ - 2 n + 4 ∣ - 5 < 15

Solution

1 < n < 3

+1

Interval Notation

(1, 3)

Solution steps

10 ∣ - 2 n + 4 ∣ - 5 < 15

Move

5

to the right side

10 ∣ - 2 n + 4 ∣ < 20

Divide both sides by

10

∣ - 2 n + 4 ∣ < 2

Apply absolute rule: If

∣ u ∣ < a, a > 0

then

- a < u < a

- 2 < - 2 n + 4 < 2

- 2 n + 4 > - 2 and - 2 n + 4 < 2

n < 3 and n > 1

Merge Overlapping Intervals

1 < n < 3

Popular Examples

factor x^2+9x factor

x^{2} + 9 x

5 x^{2} + 6 x + 5 = 0

simplify a/7*b/2 simplify

\frac{a}{7} \cdot \frac{b}{2}

factor x^3+x^2-x-1 factor

x^{3} + x^{2} - x - 1

2 x \geq 10

Frequently Asked Questions (FAQ)

What is 10|-2n+4|-5<15 ?
The solution to 10|-2n+4|-5<15 is 1<n<3