Describe the following sets in set-builder form: E = 0 ; - Vidyadip

Question

Describe the following sets in set-builder form:
E = {0};

✓

Answer

In set Builder form, a set is described by some characterizing property P (x) of its elements x. In this case a set can be described as : {x: P(x) hold} which is read as 'the set of all x such that P (x) holds'. The symbols ':' or 'I' is read as 'such that'.

$\text{E} =\{\text{x} \in\text{ Z} : -1 < \text{x} < 1\}$

OR

$\text{E} = \{\text{x} \in\text{ Z}: \text{x} = 0\}.$

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