How do you solve #3x - 5<4#?

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Answer 1 · 2017-07-21T03:03:16

See a solution process below:

Step 1) Add #color(red)(5)# to each side of the inequality to isolate the #x# term while keeping the inequality balanced:

#3x - 5 + color(red)(5) < 4 + color(red)(5)#

#3x - 0 < 9#

#3x < 9#

Step 2) Divide each side of the inequality by #color(red)(3)# to solve for #x# while keeping the inequality balanced:

#(3x)/color(red)(3) < 9/color(red)(3)#

#(color(red)(cancel(color(black)(3)))x)/cancel(color(red)(3)) < 3#

#x < 3#