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Popular >

3|8r+9|-1>2

Solution

3 ∣ 8 r + 9 ∣ - 1 > 2

Solution

r < - \frac{5}{4} or r > - 1

+2

Interval Notation

(- \infty, - \frac{5}{4}) \cup (- 1, \infty)

Decimal Notation

r < - 1.25 or r > - 1

Solution steps

3 ∣ 8 r + 9 ∣ - 1 > 2

Move

1

to the right side

3 ∣ 8 r + 9 ∣ > 3

Divide both sides by

3

∣ 8 r + 9 ∣ > 1

Apply absolute rule: If

∣ u ∣ > a, a > 0

then

u < - a

or

u > a

8 r + 9 < - 1 or 8 r + 9 > 1

8 r + 9 < - 1 or 8 r + 9 > 1

r < - \frac{5}{4} or r > - 1

Popular Examples

simplify sqrt(144)\sqrt[3]{125}simplify

factor x^4+7x^2-8 factor

x^{4} + 7 x^{2} - 8

\frac{3}{2} (1) - 2

factor 2r^2-9r+9 factor

2 r^{2} - 9 r + 9

4 x^{2} + 8 x + 4 = 1

Frequently Asked Questions (FAQ)

What is 3|8r+9|-1>2 ?
The solution to 3|8r+9|-1>2 is r<-5/4 \lor r>-1