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Popular >

9|2q|<3

Solution

9 ∣ 2 q ∣ < 3

Solution

- \frac{1}{6} < q < \frac{1}{6}

+2

Interval Notation

(- \frac{1}{6}, \frac{1}{6})

Decimal Notation

- 0.16666 \dots < q < 0.16666 \dots

Solution steps

9 ∣ 2 q ∣ < 3

Divide both sides by

9

∣ 2 q ∣ < \frac{1}{3}

Apply absolute rule: If

∣ u ∣ < a, a > 0

then

- a < u < a

- \frac{1}{3} < 2 q < \frac{1}{3}

2 q > - \frac{1}{3} and 2 q < \frac{1}{3}

q > - \frac{1}{6} and q < \frac{1}{6}

Merge Overlapping Intervals

- \frac{1}{6} < q < \frac{1}{6}

Popular Examples

simplify 1/(1-6)simplify

\frac{1}{1 - 6}

a^{2} - 9 a + 30 = 0

3 r - r = 8

simplify 3*15 simplify

3 \cdot 15

- 3 x < 9 x < x + 6

Frequently Asked Questions (FAQ)

What is 9|2q|<3 ?
The solution to 9|2q|<3 is -1/6 <q< 1/6