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Popular >

3-|2x+4|<= 1

Solution

3 - ∣ 2 x + 4 ∣ \leq 1

Solution

x \leq - 3 or x \geq - 1

+1

Interval Notation

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

Solution steps

3 - ∣ 2 x + 4 ∣ \leq 1

Move

3

to the right side

- ∣ 2 x + 4 ∣ \leq - 2

Multiply both sides by

- 1

∣ 2 x + 4 ∣ \geq 2

Apply absolute rule: If

∣ u ∣ \geq a, a > 0

then

u \leq - a

or

u \geq a

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

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

x \leq - 3 or x \geq - 1

Popular Examples

-3(7x+1.4)-7.9=x

- 3 (7 x + 1.4) - 7.9 = x

x^{2} + 4 x = 7

10x-4>= 10x-7\lor 7-7x>=-4x+4

10 x - 4 \geq 10 x - 7 or 7 - 7 x \geq - 4 x + 4

8 ∣ - 4 + 3 n ∣ - 2 = 14

simplify ((7+2i)(8-i))/(2+i)simplify

\frac{( 7 + 2 i ) ( 8 - i )}{2 + i}

Frequently Asked Questions (FAQ)

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