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Popular >

|3+2x|>= 7

Solution

∣ 3 + 2 x ∣ \geq 7

Solution

x \leq - 5 or x \geq 2

+1

Interval Notation

(- \infty, - 5] \cup [2, \infty)

Solution steps

∣ 3 + 2 x ∣ \geq 7

Apply absolute rule: If

∣ u ∣ \geq a, a > 0

then

u \leq - a

or

u \geq a

3 + 2 x \leq - 7 or 3 + 2 x \geq 7

3 + 2 x \leq - 7 or 3 + 2 x \geq 7

x \leq - 5 or x \geq 2

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Frequently Asked Questions (FAQ)

What is |3+2x|>= 7 ?
The solution to |3+2x|>= 7 is x<=-5\lor x>= 2