How do you solve #abs(5k+4)>=36#?
1 Answer
Nov 24, 2017
Explanation:
#"inequalities of the type "|x|>=a#
#"have solutions of the form "#
#x<=-a" OR "x>=a#
#rArr5k+4<=-36" or "5k+4>=36#
#(1)color(white)(x)5k+4<=-36#
#rArr5k<=-40rArrk<=-8#
#(2)color(white)(x)5k+4>=36#
#rArr5k>=32rArrk>=32/5#
#"the solution can be expressed in interval notation as"#
#(-oo,-8]uu[32/5,+oo)#