Conditional Statements

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Conditional Statements: Overview

This Topic covers sub-topics such as Negation of a Conditional Statement, Converse of a Conditional Statement, Inverse of a Conditional Statement, Contrapositive of a Conditional Statement and, The Biconditional Statement

Important Questions on Conditional Statements

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Write the ]inverse statement for the following conditional statement:

If the shape is a triangle, then the sum of the internal angles is 180 degrees. 

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Write the ]inverse statement for the following conditional statement:

If you win the race then you will get a prize.

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Which of the following statements is biconditional?

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Which of the following is a negation of m?

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r: You give me twenty dollars.

s: I will be your best friend.

What is the truth value of rs when the hypothesis is false and the conclusion is true?

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r: You give me twenty dollars.

s: I will be your best friend.

Which of the following statements represents, "If you give me twenty dollars, then I will be your best friend"?

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If a: y-6=10

b: y=16

The biconditional ab represents which of the following.

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If a: y-6=9

b: y=15

The biconditional ab represents which of the following.

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Write the below conditional statement in converse condition.

"If Cliff is thirsty, then she drinks water" is a conditional.

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If a: x is prime

b: x is odd

What is the truth value of ab when x=9?

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If a: x is prime

b: x is odd

What is the truth value of ab when x=2?

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Which of the following statement represents," If you give me twenty dollars, then I will be your best friend"?

r: You give me twenty dollars

s: I will be your best friend

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Which of the following is a conditional statement?

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What is the conclusion in the given conditional statement : xZ if x>0 then xN?

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What is the hypothesis in the given conditional statement : xR if x2Z then xZ?

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What is the hypothesis in the given conditional statement "xZ if x>0, then xN"?

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What is the hypothesis in the conditional statement 'if x=2; then x2=4'?

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The contrapositive statement of "If she works, she will earn money" is