Question

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Answer 1

z∈(-∞,-19.634)∪(20.366,+∞)

Explanation:

|82-4.1z|>1.5

82-4.1z>1.5 v 82-4.1z<-1.5

-4.1z<-80.5 v -4.1z<-83.5

`z < (-80.5)/(4.1)` v
`z > (83.5)/(4.1)`

z∈
`(-\infty,(-80.5)/(4.1) )`∪
`((83.5)/(4.1) ,\infty)`

-
`(80.5)/(4.1)`≈-19.634

`(83.5)/(4.1)`≈20.366

z∈(-∞,-19.634)∪(20.366,+∞)