What is |2-x^3|<= 10 ?

The solution to |2-x^3|<= 10 is -2<= x<= \sqrt[3]{12}

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|2-x^3|<= 10

2 - x^{3} \leq 10

Interval Notation

Decimal Notation

- 2 \leq x \leq 2.28942 \dots

Solution steps

2 - x^{3} \leq 10

Apply absolute rule: If

∣ u ∣ \leq a, a > 0

then

- a \leq u \leq a

- 10 \leq 2 - x^{3} \leq 10

2 - x^{3} \geq - 10 and 2 - x^{3} \leq 10

Merge Overlapping Intervals

4 a^{2} - 21 a + 5

x^{2} - x + 0.003 = 0

\frac{q}{3} < 3

\frac{8 x ^{2} y ^{3} - 6 x ^{3} y}{2 x ^{2} y}

\frac{1}{3} \cdot \frac{2}{5}