How do you solve #4( d + 9) < 68#?

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Answer 1 · 2017-08-22T14:45:05

See a solution process below:

First, divide each side of the inequality by #color(red)(4)# to eliminate the need for parenthesis while keeping the inequality balanced:

#(4(d + 9))/color(red)(4) < 68/color(red)(4)#

#(color(red)(cancel(color(black)(4)))(d + 9))/cancel(color(red)(4)) < 17#

#d + 9 < 17#

Now, subtract #color(red)(9)# from each side of the inequality to solve for #d# while keeping the inequality balanced:

#d + 9 - color(red)(9) < 17 - color(red)(9)#

#d + 0 < 8#

#d < 8#