ExpertMedium1 markMultiple Choice
AQA GCSE · Question 11.2 · Number
Statement 2: If a number is ≤ 3 the number is 1.
Statement 2: If a number is ≤ 3 the number is 1.
Answer options:
A.
True
B.
May be true
C.
Not true
How to approach this question
1. Read the statement: "If a number is ≤ 3 the number is 1".
2. Understand the symbols: "≤ 3" means "less than or equal to 3".
3. Test if the statement can be true. If we choose the number 1, is 1 ≤ 3? Yes. So the statement *can* be true.
4. Test if the statement is *always* true. Can we choose a number that is ≤ 3 but is *not* 1? Yes, we could choose 2 (2 ≤ 3) or 0 (0 ≤ 3) or -5 (-5 ≤ 3).
5. Since the statement is true for some numbers but not for all numbers that fit the condition, it "May be true".
Full Answer
B.May be true✓ Correct
The statement is "If a number is ≤ 3 the number is 1".
This means "If a number is less than or equal to 3, then the number must be 1".
Let's test this.
- Could the number be 1? Yes, because 1 is less than or equal to 3. In this case, the statement holds.
- Could the number be something else? Let's pick another number that is less than or equal to 3, for example, 2. The number is 2, which is not 1. So the statement does not hold for the number 2.
Since the statement is true for the number 1, but false for other numbers like 2, 0, -4 etc., it is not always true and not always false. Therefore, it **May be true**.
Common mistakes
✗ Choosing "True" because 1 is a possible value.
✗ Choosing "Not true" because other values are possible.
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