How do you solve #5x - 1< 24#?

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Answer 1 · 2017-06-11T00:47:36

See a solution process below:

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

#5x - 1 + color(red)(1) < 24 + color(red)(1)#

#5x - 0 < 25#

#5x < 25#

Step 2) Divide each side of the inequality by #color(red)(5)# to solve for #x# while keeping the inequality balanced:

#(5x)/color(red)(5) < 25/color(red)(5)#

#(color(red)(cancel(color(black)(5)))x)/cancel(color(red)(5)) < 5#

#x < 5#