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Popular >

|5x-15|>= 20

Solution

∣ 5 x - 15 ∣ \geq 20

Solution

x \leq - 1 or x \geq 7

+1

Interval Notation

(- \infty, - 1] \cup [7, \infty)

Solution steps

∣ 5 x - 15 ∣ \geq 20

Apply absolute rule: If

∣ u ∣ \geq a, a > 0

then

u \leq - a

or

u \geq a

5 x - 15 \leq - 20 or 5 x - 15 \geq 20

5 x - 15 \leq - 20 or 5 x - 15 \geq 20

x \leq - 1 or x \geq 7

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Frequently Asked Questions (FAQ)

What is |5x-15|>= 20 ?
The solution to |5x-15|>= 20 is x<=-1\lor x>= 7