How do you solve the inequality: 12+10w⪰8(w+12)?

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Answer 1 · 2018-07-24T19:11:42

#w >= 42#

#12 + 10w >= 8(w+12)#

Distribute the right side:
#12 + 10w >= 8w + 96#

Subtract #color(blue)(8w)# from both sides:
#12 + 10w quadcolor(blue)(-quad8w) > 8w + 96 quadcolor(blue)(-quad8w)#

#12 + 2w >= 96#

Subtract #color(blue)12# from both sides:
#12 + 2w quadcolor(blue)(-quad12) >= 96 quadcolor(blue)(-quad12)#

#2w >= 84#

Divide both sides by #color(blue)2#:
#(2w)/color(blue)2 >= 84/color(blue)2#

#w >= 42#

Hope this helps!