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Popular >

4|x+2|-10>=-6

Solution

4 ∣ x + 2 ∣ - 10 \geq - 6

Solution

x \leq - 3 or x \geq - 1

+1

Interval Notation

(- \infty, - 3] \cup [- 1, \infty)

Solution steps

4 ∣ x + 2 ∣ - 10 \geq - 6

Move

10

to the right side

4 ∣ x + 2 ∣ \geq 4

Divide both sides by

4

∣ x + 2 ∣ \geq 1

Apply absolute rule: If

∣ u ∣ \geq a, a > 0

then

u \leq - a

or

u \geq a

x + 2 \leq - 1 or x + 2 \geq 1

x + 2 \leq - 1 or x + 2 \geq 1

x \leq - 3 or x \geq - 1

Popular Examples

(2x+10)/(x+3)>= 1

\frac{2 x + 10}{x + 3} \geq 1

6(-2g-1)=-(13g+2)

6 (- 2 g - 1) = - (13 g + 2)

∣ 3 x - 4 ∣ > 11

simplify 80^2 simplify

8 0^{2}

r^{2} + 4 r - 5 = 0

Frequently Asked Questions (FAQ)

What is 4|x+2|-10>=-6 ?
The solution to 4|x+2|-10>=-6 is x<=-3\lor x>=-1