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Popular >

|x-7|>= 6

Solution

∣ x - 7 ∣ \geq 6

Solution

x \leq 1 or x \geq 13

+1

Interval Notation

(- \infty, 1] \cup [13, \infty)

Solution steps

∣ x - 7 ∣ \geq 6

Apply absolute rule: If

∣ u ∣ \geq a, a > 0

then

u \leq - a

or

u \geq a

x - 7 \leq - 6 or x - 7 \geq 6

x - 7 \leq - 6 or x - 7 \geq 6

x \leq 1 or x \geq 13

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|x^2-10x+21|-|3x-15|<= 0

x^{2} - 10 x + 21 - ∣ 3 x - 15 ∣ \leq 0

3(x+4)>= 0\lor 3(x+3)<= 3

3 (x + 4) \geq 0 or 3 (x + 3) \leq 3

Frequently Asked Questions (FAQ)

What is |x-7|>= 6 ?
The solution to |x-7|>= 6 is x<= 1\lor x>= 13