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Popular >

|2x-1|>= 5

Solution

∣ 2 x - 1 ∣ \geq 5

Solution

x \leq - 2 or x \geq 3

+1

Interval Notation

(- \infty, - 2] \cup [3, \infty)

Solution steps

∣ 2 x - 1 ∣ \geq 5

Apply absolute rule: If

∣ u ∣ \geq a, a > 0

then

u \leq - a

or

u \geq a

2 x - 1 \leq - 5 or 2 x - 1 \geq 5

2 x - 1 \leq - 5 or 2 x - 1 \geq 5

x \leq - 2 or x \geq 3

Popular Examples

x^{2} + 2 4^{2} = 2 5^{2}

longdivision 1/(0.0001)long division

\frac{1}{0.0001}

16(n+6)=4(24+4n)

16 (n + 6) = 4 (24 + 4 n)

factor 2x^2-14x+20 factor

2 x^{2} - 14 x + 20

log_{7}(1/49)=x

lo g_{7} (\frac{1}{49}) = x

Frequently Asked Questions (FAQ)

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