How do you solve #35\leq 5a + 4( - 7a + 3)#?

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Answer 1 · 2018-01-06T12:51:13

#a <=-1#

Given #35<=5a+4(-7a+3)#, first work on the right-hand side:

Distribute the 4:

#35<=5a-28a+12#

collect like terms:

#35<=-23a+12#

subtract 12 from both sides:

#23<=-23a#

divide through by #-23#, don't forget to switch the inequality:

#-1>=a#

Write your answer in the more traditional way:

#a <=-1#