How do you solve #\frac { 1} { 3} a - 4\geq 21#?

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Answer 1 · 2017-07-20T14:09:36

See a solution process below:

Step 1) Add #color(red)(4)# to each side of the inequality to isolate the #a# term while keeping the inequality balanced:

#1/3a - 4 + color(red)(4) >= 21 + color(red)(4)#

#1/3a - 0 >= 25#

#1/3a >= 25#

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

#color(red)(3) xx 1/3a >= color(red)(3) xx 25#

#3/3a >= 75#

#1a = 75#

#a = 75#