Question

Which is a conditional statement for the sentence?

For all real numbers a, b, and c, a = b implies that a−c=b−c.


A.If a, b, and c are real numbers, then a = b.


B.For all real numbers a, b, and c, if a−c=b−c, then a = b.


C.For all real numbers a, b, and c, if a = b, then a−c=b−c.


D.If a, b, and c are real numbers, then a−c=b−c.

Answer 1

The conditional proposition for the given sentence is:

"For all real numbers a, b, and c, if a = b, then a−c=b−c."

Which one is a conditional statement?

A conditional statement is of the form:

If P, then Q.

Where P and Q are two propositions.

The sentence is:

"For all real numbers a, b, and c, a = b implies that a−c=b−c."

So the propositions are:

P = "a = b"

Q = " a - c = b - c"

Where we need to define that this works for all real numbers.

So the conditional proposition is:

"For all real numbers a, b, and c, if a = b, then a−c=b−c."

So the correct option is C.

If you want to learn more about conditional propositions:

https://brainly.com/question/11073037

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