In a scenario where set B is defined by the constraints y ≤ 3 and y ≥ 1, which o

Practice Questions

Q1
In a scenario where set B is defined by the constraints y ≤ 3 and y ≥ 1, which of the following values is included in set B?
  1. 0
  2. 1
  3. 4
  4. 2.5

Questions & Step-by-Step Solutions

In a scenario where set B is defined by the constraints y ≤ 3 and y ≥ 1, which of the following values is included in set B?
  • Step 1: Understand the constraints for set B. The constraints are y ≤ 3 and y ≥ 1.
  • Step 2: Identify the range of values that satisfy these constraints. This means y can be any value that is greater than or equal to 1 and less than or equal to 3.
  • Step 3: List the values that fall within this range. The values include 1, 1.5, 2, 2.5, 3.
  • Step 4: Check if the value 2.5 meets both constraints. Since 2.5 is greater than 1 and less than 3, it satisfies both conditions.
  • Step 5: Conclude that since 2.5 meets the constraints, it is included in set B.
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