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Popular >

|1+6n|<23

Solution

∣ 1 + 6 n ∣ < 23

Solution

- 4 < n < \frac{11}{3}

+2

Interval Notation

(- 4, \frac{11}{3})

Decimal Notation

- 4 < n < 3.66666 \dots

Solution steps

∣ 1 + 6 n ∣ < 23

Apply absolute rule: If

∣ u ∣ < a, a > 0

then

- a < u < a

- 23 < 1 + 6 n < 23

1 + 6 n > - 23 and 1 + 6 n < 23

n > - 4 and n < \frac{11}{3}

Merge Overlapping Intervals

- 4 < n < \frac{11}{3}

Popular Examples

∣ 2 x + 6 ∣ = ∣ x - 2 ∣

(5x)/2-x= x/6-16/3

\frac{5 x}{2} - x = \frac{x}{6} - \frac{16}{3}

(x + 1) (x + 2) \leq 9

simplify (12/13)^2 simplify

(\frac{12}{13})^{2}

-(pi(-2pix+1))/(3sqrt(3))+2pix=0

- \frac{π ( - 2 π x + 1 )}{3 3} + 2 π x = 0

Frequently Asked Questions (FAQ)

What is |1+6n|<23 ?
The solution to |1+6n|<23 is -4<n< 11/3