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Popular >

-2|4-x|<=-4

Solution

- 2 ∣ 4 - x ∣ \leq - 4

Solution

x \leq 2 or x \geq 6

+1

Interval Notation

(- \infty, 2] \cup [6, \infty)

Solution steps

- 2 ∣ 4 - x ∣ \leq - 4

Multiply both sides by

- 1

2 ∣ 4 - x ∣ \geq 4

Divide both sides by

2

∣ 4 - x ∣ \geq 2

Apply absolute rule: If

∣ u ∣ \geq a, a > 0

then

u \leq - a

or

u \geq a

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

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

x \leq 2 or x \geq 6

Popular Examples

simplify (1/20)^2 simplify

(\frac{1}{20})^{2}

x^{2} + 34 = - 11 x

x^{2} - 8 x + 16 = 16

∣ x - 5 ∣ > 9

\frac{w}{3} \geq 2

Frequently Asked Questions (FAQ)

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