How do you solve #0.18\geq 0.05a + 0.03#?

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Answer 1 · 2017-08-04T04:24:05

See a solution process below:

Step 1) Subtract #color(red)(0.03)# from each side of the inequality to isolate the #a# term while keeping the inequality balanced:

#0.18 - color(red)(0.03) >= 0.05a + 0.03 - color(red)(0.03)#

#0.15 >= 0.05a + 0#

#0.15 >= 0.05a#

Step 2) Divide each side of the inequality by #color(red)(0.05)# to solve for #a# while keeping the inequality balanced:

#0.15/color(red)(0.05) >= (0.05a)/color(red)(0.05)#

#3 >= (color(red)(cancel(color(black)(0.05)))a)/cancel(color(red)(0.05))#

#3 >= a#

To state the solution in terms of #a# we can reverse or "flip" the entire inequality:

#a <= 3#