which of the options is a counterexample to the given conditional statement.
conditional statement: if x^2=25, then x=5
the options are
x=10
none,the statement is true
x=-5
x=-10
i think it’s C
yes, -5 *-5 = 25
so if x^2 = 25 then x is not necessarily +5
If x²=25
then x=±√25
=5 or -5
Counter example oppose the condition to the given example
So what does that tell you
To determine if any of the options is a counterexample to the conditional statement "if x^2 = 25, then x = 5," we need to substitute each option value into the given statement and observe the result.
Let's evaluate each option:
Option A: x = 10
If x = 10, then (10)^2 = 100, which does not equal 25. Thus, option A is not a counterexample to the statement.
Option B: None, the statement is true
This option claims that the statement is universally true. Since we are looking for a counterexample, option B is not a valid choice.
Option C: x = -5
If x = -5, then (-5)^2 = 25, and the statement fulfills the condition. Therefore, option C is not a counterexample.
Option D: x = -10
If x = -10, then (-10)^2 = 100, which also does not equal 25. Thus, option D is not a counterexample.
From the evaluation above, we find that none of the options presented are counterexamples to the given conditional statement.