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Popular >

sqrt(x^2)<x+1

Solution

x^{2} < x + 1

Solution

x > - \frac{1}{2}

+2

Interval Notation

(- \frac{1}{2}, \infty)

Decimal Notation

x > - 0.5

Solution steps

x^{2} < x + 1

If

f (x) < g (x)

then

g (x) > 0

x + 1 > 0 : x > - 1

x^{2} < x + 1 : x > - \frac{1}{2}

Verify Solutions:

x > - \frac{1}{2}

True

The solution is

x > - \frac{1}{2}

Popular Examples

x > 1 - x

x + 5 < x + 7

sqrt(x^2-6x+8)<= sqrt(x+1)

x^{2} - 6 x + 8 \leq x + 1

((sqrt(x-1)))/((x-2))<0

\frac{( x - 1 )}{( x - 2 )} < 0

((x^2-13x+40))/((sqrt(19x-x^2-78)))<= 0

\frac{( x ^{2} - 13 x + 40 )}{( 19 x - x ^{2} - 78 )} \leq 0

Frequently Asked Questions (FAQ)

What is sqrt(x^2)<x+1 ?
The solution to sqrt(x^2)<x+1 is x>-1/2