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Popular >

|2a-1|<3

Solution

∣ 2 a - 1 ∣ < 3

Solution

- 1 < a < 2

+1

Interval Notation

(- 1, 2)

Solution steps

∣ 2 a - 1 ∣ < 3

Apply absolute rule: If

∣ u ∣ < a, a > 0

then

- a < u < a

- 3 < 2 a - 1 < 3

2 a - 1 > - 3 and 2 a - 1 < 3

a > - 1 and a < 2

Merge Overlapping Intervals

- 1 < a < 2

Popular Examples

simplify (120pi)/(180)simplify

\frac{120 π}{180}

∣ x + 5 ∣ - 6 = 8

factor 18n^3+39n^2-15n factor

18 n^{3} + 39 n^{2} - 15 n

factor n^2+4n-5 factor

n^{2} + 4 n - 5

factor 7w^5-35w^2 factor

7 w^{5} - 35 w^{2}

Frequently Asked Questions (FAQ)

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