How do you solve #2c - 1\geq 3#?

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Answer 1 · 2018-01-26T15:02:39

See a solution process below:

First, add #color(red)(1)# to each side of the inequality to isolate the #c# term while keeping the inequality balanced:

#2c - 1 + color(red)(1) >= 3 + color(red)(1)#

#2c - 0 >= 4#

#2c >= 4#

Now, divide each side of the inequality by #color(red)(2)# to solve for #c# while keeping the inequality balanced:

#(2c)/color(red)(2) >= 4/color(red)(2)#

#(color(red)(cancel(color(black)(2)))c)/cancel(color(red)(2)) >= 2#

#c >= 2#