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Popular >

|x-2|< 3/2

Solution

∣ x - 2 ∣ < \frac{3}{2}

Solution

\frac{1}{2} < x < \frac{7}{2}

+2

Interval Notation

(\frac{1}{2}, \frac{7}{2})

Decimal Notation

0.5 < x < 3.5

Solution steps

∣ x - 2 ∣ < \frac{3}{2}

Apply absolute rule: If

∣ u ∣ < a, a > 0

then

- a < u < a

- \frac{3}{2} < x - 2 < \frac{3}{2}

x - 2 > - \frac{3}{2} and x - 2 < \frac{3}{2}

x > \frac{1}{2} and x < \frac{7}{2}

Merge Overlapping Intervals

\frac{1}{2} < x < \frac{7}{2}

Popular Examples

simplify 1296^{1/4}simplify

129 6^{\frac{1}{4}}

7 u = 48

factor 64x^3y+125y^4 factor

64 x^{3} y + 125 y^{4}

simplify sqrt(364)simplify

364

simplify 2/3+4/5 simplify

\frac{2}{3} + \frac{4}{5}

Frequently Asked Questions (FAQ)

What is |x-2|< 3/2 ?
The solution to |x-2|< 3/2 is 1/2 <x< 7/2