How do you solve #abs(7x-3)<2#?
1 Answer
Jul 22, 2017
Explanation:
#"absolute value functions of the type "|x| < a#
#"always have solutions of the form " -a < x < a #
#rArr-2 < 7x-3 < 2#
#"add 3 to all 3 intervals"#
#-2+3 < 7x < 2+3#
#rArr1 < 7x < 5#
#"divide all 3 intervals by 7"#
#rArr1/7 < x < 5/7" is the solution"#
