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Popular >

3|2x+5|>= 9

Solution

3 ∣ 2 x + 5 ∣ \geq 9

Solution

x \leq - 4 or x \geq - 1

+1

Interval Notation

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

Solution steps

3 ∣ 2 x + 5 ∣ \geq 9

Divide both sides by

3

∣ 2 x + 5 ∣ \geq 3

Apply absolute rule: If

∣ u ∣ \geq a, a > 0

then

u \leq - a

or

u \geq a

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

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

x \leq - 4 or x \geq - 1

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Frequently Asked Questions (FAQ)

What is 3|2x+5|>= 9 ?
The solution to 3|2x+5|>= 9 is x<=-4\lor x>=-1