Question

Written in set-builder notation, S = {1, 3, 5, 7, 9) isA. {x|1 < x < 9, where x is a prime number}B. {x|1 sx s 9, where x is a prime number}C. {x| 1 < x < 9, where x is an odd integer}D. {x| 1 is less than or equal to x less than or equal to 9, where x is an odd integer}

Answer 1

Let's begin by identifying key information given to us:

1, 3, 5, 7, 9 are all odd numbers

1 is the minimum number & 9 is the maximum number

Set-builder notation means a mathematical notation to describe a set of numbers having a definite condition which is met by all the elements in that set

Hence, the set-builder notation is given by:

$\mleft\{x\colon1\leq x\leq9,whereX=OddInteger\mright\}$

Hence, option D is the correct answer