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Popular >

2|2x-9|+8>22

Solution

2 ∣ 2 x - 9 ∣ + 8 > 22

Solution

x < 1 or x > 8

+1

Interval Notation

(- \infty, 1) \cup (8, \infty)

Solution steps

2 ∣ 2 x - 9 ∣ + 8 > 22

Move

8

to the right side

2 ∣ 2 x - 9 ∣ > 14

Divide both sides by

2

∣ 2 x - 9 ∣ > 7

Apply absolute rule: If

∣ u ∣ > a, a > 0

then

u < - a

or

u > a

2 x - 9 < - 7 or 2 x - 9 > 7

2 x - 9 < - 7 or 2 x - 9 > 7

x < 1 or x > 8

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96 x^{3} + 120 x^{2} + 24 x + 30

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3 u^{4} - 3 u^{4} y^{4}

y^{2} + 6 y - 40 = 0

Frequently Asked Questions (FAQ)

What is 2|2x-9|+8>22 ?
The solution to 2|2x-9|+8>22 is x<1\lor x>8