A. Describe the error in the following. 1. 5 is a subset of N
2. x > 1 and x < 4 is equivalent to x > 1< 4
3. Given the function x +10, find the value of f(4)
4. 0, 1, 2, 3, … are elements of counting numbers.
5. 22/7 = 3.14
Answers
Answer:
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Given : 1. 5 is a subset of N
2. x > 1 and x < 4 is equivalent to x > 1< 4
3. Given the function x + 10, find the value of f(4)
4. 0, 1, 2, 3, … are elements of counting numbers.
5. 22/7 = 3.14
To Find : Find Error
Solution:
1. 5 is a subset of N
5 is an element of set of N ( Natural numbers) not a subset
{5} will be a subset
2. x > 1 and x < 4 is equivalent to x > 1< 4
NO
As x > 1 and x < 4 => 1 < x < 4
x > 1 < 4 => x >1 and 1 < 4 is True and had no significance here so it reduces to x > 1 and does not have information x < 4
x + 10 is an expression not a function
function would be f(x) =x + 10
Then f(4) = 4 + 10 = 14
4. 0, 1, 2, 3, … are elements of counting numbers.
Natural numbers are counting numbers
0 is not count numbers
22/7 = 3.14
22/7 has 7 in denominator so its non terminating recurring decimal
3.14 is terminating decimal
Hence both can not be equal
22/7 ≈ 3.14 ( both can be approximated not equated)
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