# How do you solve these 2 inequalities? (Exponential function)

##
Ok so I'd like an explanation (for one or both) with the answer as well for these 2 problems, please.

1) #(1/4)^x# < #1/8#

2) #(1/4)^x# > #1/8#

Thanks so much!

Ok so I'd like an explanation (for one or both) with the answer as well for these 2 problems, please.

1)

2)

Thanks so much!

##### 1 Answer

Mar 11, 2018

see below

#### Explanation:

1)

reduce the fractions to powers of 2

that is

=

now just use the reciprocal and negate the powers

therefore,

therefore,

#-x < -3/2#

now when you revert these back to positive, the

therefore

1)

=

this is the answer for the first question and the second question is just the same whose answer is

2)