Solved on Sep 15, 2023

Express the set of natural numbers between 3 and 80 in roster form: {xxN,3x<80}\{x \mid x \in \mathbb{N}, 3 \leq x < 80\}.

STEP 1

Assumptions1. The set contains elements x such that x belongs to the set of natural numbers (). . The elements x in the set are greater than or equal to3 and less than80.

STEP 2

The set is defined by a condition, so we need to list all natural numbers that satisfy this condition.

STEP 3

Start listing the natural numbers that are greater than or equal to3 and less than80.
={3,,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79} = \{3,,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79\}So, the set in roster form is the set of all natural numbers from3 to79 inclusive.

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