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Popular >

4<= |q+6|

Solution

4 \leq ∣ q + 6 ∣

Solution

q \leq - 10 or q \geq - 2

+1

Interval Notation

(- \infty, - 10] \cup [- 2, \infty)

Solution steps

4 \leq ∣ q + 6 ∣

Switch sides

∣ q + 6 ∣ \geq 4

Apply absolute rule: If

∣ u ∣ \geq a, a > 0

then

u \leq - a

or

u \geq a

q + 6 \leq - 4 or q + 6 \geq 4

q + 6 \leq - 4 or q + 6 \geq 4

q \leq - 10 or q \geq - 2

Popular Examples

30 = \frac{x}{3.5}

factor 3x^2+12x-36 factor

3 x^{2} + 12 x - 36

simplify sqrt(19.6)simplify

19.6

simplify |-4|+7 simplify

∣ - 4 ∣ + 7

simplify (10^5)/(10^{-7)}simplify

\frac{1 0 ^{5}}{1 0 ^{- 7}}

Frequently Asked Questions (FAQ)

What is 4<= |q+6| ?
The solution to 4<= |q+6| is q<=-10\lor q>=-2