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Popular >

|2x+1|>= 5

Solution

∣ 2 x + 1 ∣ \geq 5

Solution

x \leq - 3 or x \geq 2

+1

Interval Notation

(- \infty, - 3] \cup [2, \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 - 3 or x \geq 2

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Frequently Asked Questions (FAQ)

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