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Popular >

9-7|3+2r|<=-26

Solution

9 - 7 ∣ 3 + 2 r ∣ \leq - 26

Solution

r \leq - 4 or r \geq 1

+1

Interval Notation

(- \infty, - 4] \cup [1, \infty)

Solution steps

9 - 7 ∣ 3 + 2 r ∣ \leq - 26

Move

9

to the right side

- 7 ∣ 3 + 2 r ∣ \leq - 35

Multiply both sides by

- 1

7 ∣ 3 + 2 r ∣ \geq 35

Divide both sides by

7

∣ 3 + 2 r ∣ \geq 5

Apply absolute rule: If

∣ u ∣ \geq a, a > 0

then

u \leq - a

or

u \geq a

3 + 2 r \leq - 5 or 3 + 2 r \geq 5

3 + 2 r \leq - 5 or 3 + 2 r \geq 5

r \leq - 4 or r \geq 1

Popular Examples

simplify \sqrt[3]{3}*\sqrt[3]{3}simplify

2 x + 3 \geq 7

factor y^2+16y+28 factor

y^{2} + 16 y + 28

\frac{4}{5} x - \frac{2}{5} = 7

simplify (7/10)/(5/7)simplify

\frac{\frac{7}{10}}{\frac{5}{7}}

Frequently Asked Questions (FAQ)

What is 9-7|3+2r|<=-26 ?
The solution to 9-7|3+2r|<=-26 is r<=-4\lor r>= 1