How do you solve the inequality #1/4x+7>0#?

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Answer 1 · 2018-01-08T18:00:34

See a solution process below:

First, subtract #color(red)(7)# from each side of the inequality to isolate the #x# term while keeping the inequality balanced:

#1/4x + 7 - color(red)(7) > 0 - color(red)(7)#

#1/4x + 0 > -7#

#1/4x > -7#

Now, multiply each side of the inequality by #color(red)(4)# to solve for #x# while keeping the inequality balanced:

#color(red)(4) xx 1/4x > color(red)(4) xx -7#

#color(red)(4)/4x > -28#

#1x > -28#

#x > -28#