Solve for x 3x - 2/ 3x + 1
2 answers:
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Answer:
(i) A truth table shows how the truth or falsity of a compound statement depends on the truth or falsity of the simple statements from which it's constructed.
Since A ∧ B (the symbol ∧ means A and B) is true only when both A and B are true, its negation A NAND B is true as long as one of A or B is false.
Since A ∨ B (the symbol ∨ means A or B) is true when one of A or B is true, its negation A NOR B is only true when both A and B are false.
Below are the truth tables for NAND and NOR connectives.
(ii) To show that (A NAND B)∨(A NOR B) is equivalent to (A NAND B) we build the truth table.
Since the last column (A NAND B)∨(A NOR B) is equal to (A NAND B) it follows that the statements are equivalent.
(iii) To show that (A NAND B)∧(A NOR B) is equivalent to (A NOR B) we build the truth table.
Since the last column (A NAND B)∧(A NOR B) is equal to (A NOR B) it follows that the statements are equivalent.
Answer: Last option.
Step-by-step explanation:
By definition, a relation is a function if and only if each input value has an unique output value.
For this exercise it is important to remember that the input values are the values of "x" and the ouput values are the values of "y"
Knowing this and given the tables attached which represent the functions , and
,, you can identify that:
1. In the table that represents the function , the input value 1 produces the output value 3.
2. In the table that represents the function , the input value 1 produces the output value 3.
Therefore, based on this, you can determine that the input value that produces the same output value for the two functions is: