If a constraint-based set is defined as 'the set of all x such that x is a multi
Practice Questions
Q1
If a constraint-based set is defined as 'the set of all x such that x is a multiple of 3 and x < 30', which of the following is an element of this set?
27
29
31
15
Questions & Step-by-Step Solutions
If a constraint-based set is defined as 'the set of all x such that x is a multiple of 3 and x < 30', which of the following is an element of this set?
Step 1: Understand the constraint-based set definition. It includes all numbers (x) that are multiples of 3 and also less than 30.
Step 2: Identify what a multiple of 3 is. A multiple of 3 is any number that can be divided by 3 without leaving a remainder (e.g., 3, 6, 9, 12, 15, 18, 21, 24, 27, 30, ...).
Step 3: List the multiples of 3 that are less than 30. These are: 3, 6, 9, 12, 15, 18, 21, 24, 27.
Step 4: Check if 27 is in the list of multiples of 3 that are less than 30. It is included.
Step 5: Conclude that since 27 is a multiple of 3 and is less than 30, it is an element of the set.
