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Popular >

(e^x-e^{-x})/2 >0

Solution

\frac{e ^{x} - e ^{- x}}{2} > 0

Solution

x > 0

+1

Interval Notation

(0, \infty)

Solution steps

\frac{e ^{x} - e ^{- x}}{2} > 0

Multiply both sides by

2

\frac{2 ( e ^{x} - e ^{- x} )}{2} > 0 \cdot 2

Simplify

e^{x} - e^{- x} > 0

Add

e^{- x}

to both sides

e^{x} - e^{- x} + e^{- x} > 0 + e^{- x}

Simplify

e^{x} > e^{- x}

Apply exponent rules

x > - x

x > - x : x > 0

x > 0

Popular Examples

2 x^{2} - 2 x = 4

- 5 x + 2 \leq 37

x^{2} + 20 x + 91 = 0

factor x(x-y)+y(y-x)factor

x (x - y) + y (y - x)

7*4(2b-6)+11=8b-13

7 \cdot 4 (2 b - 6) + 11 = 8 b - 13

Frequently Asked Questions (FAQ)

What is (e^x-e^{-x})/2 >0 ?
The solution to (e^x-e^{-x})/2 >0 is x>0