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Popular >

9|-4x-9|-4>5

Solution

9 ∣ - 4 x - 9 ∣ - 4 > 5

Solution

x < - \frac{5}{2} or x > - 2

+2

Interval Notation

(- \infty, - \frac{5}{2}) \cup (- 2, \infty)

Decimal Notation

x < - 2.5 or x > - 2

Solution steps

9 ∣ - 4 x - 9 ∣ - 4 > 5

Move

4

to the right side

9 ∣ - 4 x - 9 ∣ > 9

Divide both sides by

9

∣ - 4 x - 9 ∣ > 1

Apply absolute rule: If

∣ u ∣ > a, a > 0

then

u < - a

or

u > a

- 4 x - 9 < - 1 or - 4 x - 9 > 1

- 4 x - 9 < - 1 or - 4 x - 9 > 1

x < - \frac{5}{2} or x > - 2

Popular Examples

\frac{x}{- 5} + 17 > 4

25 x^{2} - 16 < 0

2^{3} \cdot 3^{4}

17(2)+44=12+3k+4-k

17 (2) + 44 = 12 + 3 k + 4 - k

\frac{w}{8} < - 4

Frequently Asked Questions (FAQ)

What is 9|-4x-9|-4>5 ?
The solution to 9|-4x-9|-4>5 is x<-5/2 \lor x>-2