How do you solve #5( - 4n - 4) \leq - 4( 7n + 3) + 6 n#?

1 Answer
Jim G.
May 4, 2018

#n<=4#

Explanation:

#"distribute parenthesis on both sides of the inequality"#

#rArr-20n-20<= -28n-12+6n#

#rArr-20n-20<=-22n-12#

#"collect terms in n on the left side and numeric values"#
#"on the right side"#

#"add "22n" to both sides"#

#-20n+22n-20<=cancel(-22n)cancel(+22n)-12#

#rArr2n-20<=-12#

#"add 20 to both sides"#

#2ncancel(-20)cancel(+20)<=-12+20#

#rArr2n<=8#

#"divide both sides by 2"#

#(cancel(2) n)/cancel(2)<=8/2#

#rArrn<=4" is the solution"#

#n in(-oo,4]larrcolor(blue)"in interval notation"#

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