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Popular >

3-|4+2x|<= 1

Solution

3 - ∣ 4 + 2 x ∣ \leq 1

Solution

x \leq - 3 or x \geq - 1

+1

Interval Notation

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

Solution steps

3 - ∣ 4 + 2 x ∣ \leq 1

Move

3

to the right side

- ∣ 4 + 2 x ∣ \leq - 2

Multiply both sides by

- 1

∣ 4 + 2 x ∣ \geq 2

Apply absolute rule: If

∣ u ∣ \geq a, a > 0

then

u \leq - a

or

u \geq a

4 + 2 x \leq - 2 or 4 + 2 x \geq 2

4 + 2 x \leq - 2 or 4 + 2 x \geq 2

x \leq - 3 or x \geq - 1

Popular Examples

factor 10+2t-5s-st factor

10 + 2 t - 5 s - s t

18 - 2 x > 4

12 y + 15 = - 6 y + 23

12(2k+11)=12(2k+12)

12 (2 k + 11) = 12 (2 k + 12)

simplify 2-2 simplify

2 - 2

Frequently Asked Questions (FAQ)

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