Analyze the given set of numbers and the specified range.
Check each number to see if it is greater than or equal to 0.5 and less than 1.5.
Identify the numbers that meet both conditions.
The numbers that belong to the class are 0.8 , 1.2 .
Explanation
Problem Analysis We are given the set of numbers 0.8 , 0.3 , 1.7 , 1.2 , 1.5 and we need to identify which numbers fall within the range of 0.5 (inclusive) to 1.5 (exclusive). This means we are looking for numbers that are greater than or equal to 0.5 and strictly less than 1.5.
Checking Each Number Let's examine each number in the set:
0.8 : Is 0.8 ≥ 0.5 ? Yes. Is 0.8 < 1.5 ? Yes. So, 0.8 belongs to the class.
0.3 : Is 0.3 ≥ 0.5 ? No. So, 0.3 does not belong to the class.
1.7 : Is 1.7 ≥ 0.5 ? Yes. Is 1.7 < 1.5 ? No. So, 1.7 does not belong to the class.
1.2 : Is 1.2 ≥ 0.5 ? Yes. Is 1.2 < 1.5 ? Yes. So, 1.2 belongs to the class.
1.5 : Is 1.5 ≥ 0.5 ? Yes. Is 1.5 < 1.5 ? No. So, 1.5 does not belong to the class.
Final Answer Therefore, the numbers in the set that belong to the class 0.5 to under 1.5 are 0.8 and 1.2.
Examples
Imagine you're organizing a children's game where only kids between 5 and 15 years old can participate. If you have a list of children's ages, this problem is similar to filtering out the children who meet the age criteria. You'd go through the list and check each child's age to see if it falls within the specified range, just like we did with the numbers in the set.
The numbers in the set 0.8 , 0.3 , 1.7 , 1.2 , 1.5 that fall within the range of 0.5 (inclusive) to 1.5 (exclusive) are 0.8 and 1.2 .
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