How do you solve #5( - 4n - 4) \leq - 4( 7n + 3) + 6 n#?
1 Answer
May 4, 2018
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"#
