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Popular >

|5-2x|>= 3

Solution

∣ 5 - 2 x ∣ \geq 3

Solution

x \leq 1 or x \geq 4

+1

Interval Notation

(- \infty, 1] \cup [4, \infty)

Solution steps

∣ 5 - 2 x ∣ \geq 3

Apply absolute rule: If

∣ u ∣ \geq a, a > 0

then

u \leq - a

or

u \geq a

5 - 2 x \leq - 3 or 5 - 2 x \geq 3

5 - 2 x \leq - 3 or 5 - 2 x \geq 3

x \leq 1 or x \geq 4

Popular Examples

-0.0000006x^2+0.005x+30.629=0

- 0.0000006 x^{2} + 0.005 x + 30.629 = 0

2 x^{2} + 3 x - 8 = 0

(10)/(-5/2)=(-5/2+9)/(-5/2-4)

\frac{10}{- \frac{5}{2}} = \frac{- \frac{5}{2} + 9}{- \frac{5}{2} - 4}

- 2 < 2 - 2 x \leq 14

simplify (2^{2n}-2^{n-1})/(2^n-2^{-1)}simplify

\frac{2 ^{2 n} - 2 ^{n - 1}}{2 ^{n} - 2 ^{- 1}}

Frequently Asked Questions (FAQ)

What is |5-2x|>= 3 ?
The solution to |5-2x|>= 3 is x<= 1\lor x>= 4