The absolute value function is one-to-one, while the greatest integer function is many-to-one.
2 answers:
The absolute value function is one-to-one, while the greatest integer function is many-to-one.
Answer: The statement shown above is false. The absolute value function is not not one to one, and the greatest integer function is not many to one. Therefore the correct answer choice is B) False. The best way to find whether a function is one to one is explained in the attachment.
I hope it helps, Regards.
Answer: The statement shown above is false. The absolute value function is not not one to one, and the greatest integer function is not many to one. Therefore the correct answer choice is B) False. The best way to find whether a function is one to one is explained in the attachment.
I hope it helps, Regards.
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Answer:
There are a total of 23 cars with air conditioning and automatic transmission but not power steering
Step-by-step explanation:
Let A be the cars that have Air conditioning, B the cars that have Automatic transmission and C the cars that have pwoer Steering. Lets denote |D| the cardinality of a set D.
Remember that for 2 sets E and F, we have that
Also,
|E| = |E ∩F| + |E∩F^c|
We now alredy the following:
|A| = 89
|B| = 99
|C| = 74
|(A \cup B \cup C)^c| = 24
|A \ (B U C)| = 24 (This is A minus B and C, in other words, cars that only have Air conditioning).
|B \ (AUC)| = 65
|C \ (AUB)| = 26
We want to know |(A∩B) \ C|. Lets calculate it by taking the information given and deducting more things
For example:
99 = |B| = |B ∩ C| + |B∩C^c| = 11 + |B∩C^c|
Therefore, |B∩C^c| = 99-11 = 88
And |A ∩ B ∩ C^c| = |B∩C^c| - |B∩C^c∩A^c| = |B∩C^c| - |B \ (AUC)| = 88-65 = 23.
This means that the amount of cars that have both transmission and air conditioning but now power steering is 23.