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Popular >

|x^2-1|<= 3

Solution

x^{2} - 1 \leq 3

Solution

- 2 \leq x \leq 2

+1

Interval Notation

[- 2, 2]

Solution steps

x^{2} - 1 \leq 3

Apply absolute rule: If

∣ u ∣ \leq a, a > 0

then

- a \leq u \leq a

- 3 \leq x^{2} - 1 \leq 3

x^{2} - 1 \geq - 3 and x^{2} - 1 \leq 3

True for all x and - 2 \leq x \leq 2

Merge Overlapping Intervals

- 2 \leq x \leq 2

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\frac{4}{3} - \frac{6}{5} + \frac{6}{15}

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(x-11)/(x^2-x-2)>4

\frac{x - 11}{x ^{2} - x - 2} > 4

Frequently Asked Questions (FAQ)

What is |x^2-1|<= 3 ?
The solution to |x^2-1|<= 3 is -2<= x<= 2