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Popular >

| 1/4-x|<5

Solution

\frac{1}{4} - x < 5

Solution

- \frac{19}{4} < x < \frac{21}{4}

+2

Interval Notation

(- \frac{19}{4}, \frac{21}{4})

Decimal Notation

- 4.75 < x < 5.25

Solution steps

\frac{1}{4} - x < 5

Apply absolute rule: If

∣ u ∣ < a, a > 0

then

- a < u < a

- 5 < \frac{1}{4} - x < 5

\frac{1}{4} - x > - 5 and \frac{1}{4} - x < 5

x < \frac{21}{4} and x > - \frac{19}{4}

Merge Overlapping Intervals

- \frac{19}{4} < x < \frac{21}{4}

Popular Examples

3^{2} + 5^{2}

48= 1/2 x(x+4+x+8)

48 = \frac{1}{2} x (x + 4 + x + 8)

simplify (1/q+q/p)/(p/q-1/p)simplify

\frac{\frac{1}{q} + \frac{q}{p}}{\frac{p}{q} - \frac{1}{p}}

simplify (a+b)/6-(a-2b)/6 simplify

\frac{a + b}{6} - \frac{a - 2 b}{6}

simplify 9^7 simplify

9^{7}

Frequently Asked Questions (FAQ)

What is | 1/4-x|<5 ?
The solution to | 1/4-x|<5 is -19/4 <x< 21/4