Which is the set of numbers less than or equal to6 or greater than or equal to 12?Choices:(A)\{x | x < 6 \text{ and } x > 12\} (B){x∣x≤6 and x≥12}(C){x∣x≤6 or x≥12}(D)\{x | x < 6 \text{ or } x > 12\}
Q. Which is the set of numbers less than or equal to 6 or greater than or equal to 12?Choices:(A){x∣x<6 and x>12}(B){x∣x≤6 and x≥12}(C){x∣x≤6 or x≥12}(D){x∣x<6 or x>12}
Understand the problem: Understand the problem.We need to find the set of numbers that are either less than or equal to 6 or greater than or equal to 12. This means we are looking for two separate ranges of numbers.
Identify inequality signs: Identify the correct inequality signs.For numbers less than or equal to 6, we use the inequality sign ≤. For numbers greater than or equal to 12, we use the inequality sign ≥.
Translate into set notation: Translate the inequalities into set notation.We need to express the two conditions using set notation. The first condition is x≤6, and the second condition is x≥12. Since the problem asks for numbers satisfying either condition, we use the word \text{\"or"} to combine them.
Choose correct set notation: Choose the correct set notation from the given choices.We are looking for a set notation that correctly combines the two conditions with "or". The correct notation is "x∣x≤6 or x≥12".
Match with given choices: Match the correct set notation with the given choices.The correct set notation {x∣x≤6 or x≥12} matches with choice (C).