Express the set W = { z ∣ z ≤ − 2 or z ≥ 10 } W={z∣z≤-2orz≥10} using interval notation

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asked Feb 25, 2018 31.1k views

1 Answer

PeterJ · Answer 1 · 2018-03-02T04:01:26+0000

The answer is
$(-\infty, -2] \cup [10, \infty)$

The first portion
$(-\infty, -2]$ represents the inequality
$z\le-2$

The second portion
$[10, \infty)$ represents the inequality
$z\ge10$

The big U symbol is the union symbol to effectively glue the two intervals together.

Express the set W = { z ∣ z ≤ − 2 or z ≥ 10 } W={z∣z≤-2orz≥10} using interval notation

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