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Popular >

e^{-x}<1

Solution

e^{- x} < 1

Solution

x > 0

+1

Interval Notation

(0, \infty)

Solution steps

e^{- x} < 1

Apply exponent rules

- x < 0

Multiply both sides by

- 1

x > 0

Popular Examples

(2/3)^{-x^2-2x+12}>= (9/4)^{((x-6))/2}

(\frac{2}{3})^{- x^{2} - 2 x + 12} \geq (\frac{9}{4})^{\frac{( x - 6 )}{2}}

2^{n} > 2 n + 1, n \geq 3

2^{x+1}>3^{x+2}

2^{x + 1} > 3^{x + 2}

((2^{1-x}-2^x+1))/((2^x-1))=<0

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

(3/4)^{6x+10-x^2}< 27/64

(\frac{3}{4})^{6 x + 10 - x^{2}} < \frac{27}{64}

Frequently Asked Questions (FAQ)

What is e^{-x}<1 ?
The solution to e^{-x}<1 is x>0