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Popular >

|x-5|<= 12

Solution

∣ x - 5 ∣ \leq 12

Solution

- 7 \leq x \leq 17

+1

Interval Notation

[- 7, 17]

Solution steps

∣ x - 5 ∣ \leq 12

Apply absolute rule: If

∣ u ∣ \leq a, a > 0

then

- a \leq u \leq a

- 12 \leq x - 5 \leq 12

x - 5 \geq - 12 and x - 5 \leq 12

x \geq - 7 and x \leq 17

Merge Overlapping Intervals

- 7 \leq x \leq 17

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factor 42x^3-7x^2+28x factor

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Frequently Asked Questions (FAQ)

What is |x-5|<= 12 ?
The solution to |x-5|<= 12 is -7<= x<= 17