"Determine whether the conjecture is true or false.Give a counterexample for any false conjecture".
Given: x = 5
Conjecture: m = 5
PLEASE HELP!!!
To determine whether the given conjecture is true or false, we need more information about the variables x and m.
If x and m are representing the same value, then the conjecture that m = 5 is true, since both x and m are given to be equal to 5. In this case, the conjecture is true.
However, if x and m are representing different values, and we are only given x = 5, then the conjecture that m = 5 may be either true or false. Without any additional information about the relationship between x and m, we cannot definitively determine the truth value of the conjecture.
Now, let's consider the possibility that the conjecture is false. To provide a counterexample, we need to find values for x and m that contradict the conjecture. Given that x = 5, we could choose a value for m that is not equal to 5. For example, if m = 3, then the conjecture m = 5 is false. This counterexample demonstrates that the conjecture is not universally true.
In summary, without more information about the relationship between x and m, the truth value of the conjecture that m = 5 cannot be determined. However, we can provide a counterexample to show that the conjecture is false when m is different from 5, such as m = 3.