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Popular >

|x-7|>= 5

Solution

∣ x - 7 ∣ \geq 5

Solution

x \leq 2 or x \geq 12

+1

Interval Notation

(- \infty, 2] \cup [12, \infty)

Solution steps

∣ x - 7 ∣ \geq 5

Apply absolute rule: If

∣ u ∣ \geq a, a > 0

then

u \leq - a

or

u \geq a

x - 7 \leq - 5 or x - 7 \geq 5

x - 7 \leq - 5 or x - 7 \geq 5

x \leq 2 or x \geq 12

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(4^{7})^{3}

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x^{2} + x - 6 \geq 0

Frequently Asked Questions (FAQ)

What is |x-7|>= 5 ?
The solution to |x-7|>= 5 is x<= 2\lor x>= 12