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Popular >

|2k-1|<5

Solution

∣ 2 k - 1 ∣ < 5

Solution

- 2 < k < 3

+1

Interval Notation

(- 2, 3)

Solution steps

∣ 2 k - 1 ∣ < 5

Apply absolute rule: If

∣ u ∣ < a, a > 0

then

- a < u < a

- 5 < 2 k - 1 < 5

2 k - 1 > - 5 and 2 k - 1 < 5

k > - 2 and k < 3

Merge Overlapping Intervals

- 2 < k < 3

Popular Examples

\frac{3}{4} x - 6 \leq x - 7

simplify 7^{-3}simplify

7^{- 3}

simplify a/(a+b)-b/(a-b)+1/(a^2-b^2)simplify

\frac{a}{a + b} - \frac{b}{a - b} + \frac{1}{a ^{2} - b ^{2}}

∣ 3 x + 10 ∣ = ∣ x - 17 ∣

∣ x - 3 ∣ = 2

Frequently Asked Questions (FAQ)

What is |2k-1|<5 ?
The solution to |2k-1|<5 is -2<k<3