What is 7<= |x|<= 8 ?

The solution to 7<= |x|<= 8 is -8<= x<=-7\lor 7<= x<= 8

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7<= |x|<= 8

7 \leq ∣ x ∣ \leq 8

- 8 \leq x \leq - 7 or 7 \leq x \leq 8

Interval Notation

[- 8, - 7] \cup [7, 8]

Solution steps

7 \leq ∣ x ∣ \leq 8

a \leq u \leq b

then

a \leq u and u \leq b

7 \leq ∣ x ∣ and ∣ x ∣ \leq 8

7 \leq ∣ x ∣ : x \leq - 7 or x \geq 7

∣ x ∣ \leq 8 : - 8 \leq x \leq 8

Combine the intervals

(x \leq - 7 or x \geq 7) and - 8 \leq x \leq 8

Merge Overlapping Intervals

- 8 \leq x \leq - 7 or 7 \leq x \leq 8

- 1 - (- 1)

3 x^{2} - 75 y^{2}

- 10 x - 7 x^{4}

27 x^{2} - 48

(2 u^{2} v^{3})^{3} (3 u^{3} v)^{- 2}