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Popular >

(1-x)^2< 9/25

Solution

(1 - x)^{2} < \frac{9}{25}

Solution

\frac{2}{5} < x < \frac{8}{5}

+2

Interval Notation

(\frac{2}{5}, \frac{8}{5})

Decimal Notation

0.4 < x < 1.6

Solution steps

(1 - x)^{2} < \frac{9}{25}

For

u^{n} < a

, if

n

is even then

- \frac{9}{25} < 1 - x < \frac{9}{25}

If

a < u < b

then

a < u and u < b

- \frac{9}{25} < 1 - x and 1 - x < \frac{9}{25}

- \frac{9}{25} < 1 - x : x < \frac{8}{5}

1 - x < \frac{9}{25} : x > \frac{2}{5}

Combine the intervals

x < \frac{8}{5} and x > \frac{2}{5}

Merge Overlapping Intervals

\frac{2}{5} < x < \frac{8}{5}

Popular Examples

factor 49x^4y^2-64w^{10}z^{14}factor

49 x^{4} y^{2} - 64 w^{10} z^{14}

simplify 1/(sqrt(6))simplify

\frac{1}{6}

2 x < 4 - 10 x

4 x + 2 > 2 x - 1

simplify 25*2 simplify

25 \cdot 2

Frequently Asked Questions (FAQ)

What is (1-x)^2< 9/25 ?
The solution to (1-x)^2< 9/25 is 2/5 <x< 8/5