248,518 views
35 votes
35 votes
D

If the conditional statement "If I use my cell phone too much, my bill will be expensive," is true, which other statement must also be true?
If I do not use my cell phone too much, my bill will not be expensive.
O None must be true.
Of my bill is expensive, I used iny cell phone too much.
If my bill is not expensive. I did not use my cell phone too much
4

User Gaurav Mall
by
2.9k points

2 Answers

10 votes
10 votes

Answer:

If my bill is not expensive. I did not use my cell phone too much

Explanation:

User AndrasCsanyi
by
3.0k points
21 votes
21 votes

Answer: "If my bill is not expensive. I did not use my cell phone too much"

Reason:

The original statement is of the form "If P, then Q"

P = "I use my cell phone too much"

Q = "my bill will be expensive"

An equivalent form to the original condition is known as the contrapositive of the form "If not Q, then not P". We swap the positions of P and Q. We also negate each part. You can use a logical truth table to verify that the conditional and contrapositive have equivalent truth values, which means they are effectively equivalent statements.

User Arel Lin
by
2.4k points
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