If a constraint-based set is defined as 'the set of all x such that x is an inte
Practice Questions
Q1
If a constraint-based set is defined as 'the set of all x such that x is an integer and 1 ≤ x ≤ 5', which of the following is a valid representation of this set?
{1, 2, 3, 4, 5}
{0, 1, 2, 3, 4, 5}
{1, 2, 3, 4, 5, 6}
{2, 3, 4, 5, 6}
Questions & Step-by-Step Solutions
If a constraint-based set is defined as 'the set of all x such that x is an integer and 1 ≤ x ≤ 5', which of the following is a valid representation of this set?
Step 1: Understand the constraint-based set definition. It says we are looking for all values of x that are integers and fall between 1 and 5, inclusive.
Step 2: Identify the range given in the question. The range is from 1 to 5, which means we include both 1 and 5.
Step 3: List all the integers that fall within this range. The integers are 1, 2, 3, 4, and 5.
Step 4: Write the set using curly braces to show it contains these integers. The set is represented as {1, 2, 3, 4, 5}.
Step 5: Confirm that this representation includes all integers from 1 to 5, which matches the criteria given in the question.
