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Popular >

| 1/2-x|<2

Solution

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

Solution

- \frac{3}{2} < x < \frac{5}{2}

+2

Interval Notation

(- \frac{3}{2}, \frac{5}{2})

Decimal Notation

- 1.5 < x < 2.5

Solution steps

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

Apply absolute rule: If

∣ u ∣ < a, a > 0

then

- a < u < a

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

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

x < \frac{5}{2} and x > - \frac{3}{2}

Merge Overlapping Intervals

- \frac{3}{2} < x < \frac{5}{2}

Popular Examples

factor 12xy^2-108x factor

12 x y^{2} - 108 x

factor 8+x^3 factor

8 + x^{3}

- (y - 3) y = 0

factor 8x^9+(x-y)^6 factor

8 x^{9} + (x - y)^{6}

simplify 3/4*7/5 simplify

\frac{3}{4} \cdot \frac{7}{5}

Frequently Asked Questions (FAQ)

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