How do you solve #80 - 2w >= 50#?

1 Answer
Feb 9, 2017

Answer:

#w <= 15#

Explanation:

First, subtract #color(red)(80)# from each side of the inequality to isolate the #w# term while keeping the inequality balanced:

#80 - color(red)(80) - 2w >= 50 - color(red)(80)#

#0 - 2w >= -30#

#-2w >= -30#

Now, divide each side of the inequality by #color(blue)(-2)# to solve for #w# while keeping the inequality balanced. However, because we are multiplying or dividing an inequality by a negative term we must reverse the inequality condition:

#(-2w)/color(blue)(-2) color(red)(<=) (-30)/color(blue)(-2)#

#(color(blue)(cancel(color(black)(-2)))w)/cancel(color(blue)(-2)) color(red)(<=) 15#

#w <= 15#