How do you solve #-7| 2x | \leq - 98#?
1 Answer
Oct 11, 2017
Explanation:
#"divide both sides by "-7#
#"when dividing by a negative quantity remember to"#
#color(blue)"reverse the sign of the inequality"#
#cancel(-7)/cancel(-7)|2x|>=(-98)/(-7)#
#rArr|2x|>=14#
#"inequalities of the type "|x|>=a#
#"always have solutions of the form"#
#x<=-a" or "x>=a#
#rArr2x<=-14" or "2x>=14#
#rArrx<=-7" or "x>=7#
#"in interval notation "(-oo,-7]uu[7,+oo)#
