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Popular >

3|2x-9|-5<16

Solution

3 ∣ 2 x - 9 ∣ - 5 < 16

Solution

1 < x < 8

+1

Interval Notation

(1, 8)

Solution steps

3 ∣ 2 x - 9 ∣ - 5 < 16

Move

5

to the right side

3 ∣ 2 x - 9 ∣ < 21

Divide both sides by

3

∣ 2 x - 9 ∣ < 7

Apply absolute rule: If

∣ u ∣ < a, a > 0

then

- a < u < a

- 7 < 2 x - 9 < 7

2 x - 9 > - 7 and 2 x - 9 < 7

x > 1 and x < 8

Merge Overlapping Intervals

1 < x < 8

Popular Examples

2=-35*(2*x/(-0.00796)-(x/(-0.00796))^2)

2 = - 35 \cdot (2 \cdot \frac{x}{- 0.00796} - (\frac{x}{- 0.00796})^{2})

factor 12x^2-7x-10 factor

12 x^{2} - 7 x - 10

simplify (-125)^{-1/3}simplify

(- 125)^{- \frac{1}{3}}

simplify-5+9 simplify

- 5 + 9

simplify-(25^{-3/2})simplify

- (2 5^{- \frac{3}{2}})

Frequently Asked Questions (FAQ)

What is 3|2x-9|-5<16 ?
The solution to 3|2x-9|-5<16 is 1<x<8