Question

How do you solve `abs(5k+4)>=36`?

Answer 1

`(-oo,-8]uu[32/5,+oo)`

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)`