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Popular >

|10x+15|>= 105

Solution

∣ 10 x + 15 ∣ \geq 105

Solution

x \leq - 12 or x \geq 9

+1

Interval Notation

(- \infty, - 12] \cup [9, \infty)

Solution steps

∣ 10 x + 15 ∣ \geq 105

Apply absolute rule: If

∣ u ∣ \geq a, a > 0

then

u \leq - a

or

u \geq a

10 x + 15 \leq - 105 or 10 x + 15 \geq 105

10 x + 15 \leq - 105 or 10 x + 15 \geq 105

x \leq - 12 or x \geq 9

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Frequently Asked Questions (FAQ)

What is |10x+15|>= 105 ?
The solution to |10x+15|>= 105 is x<=-12\lor x>= 9