Conditional Statements

Identify the term being defined:
It is the condition of the statement.

Answer explanation

The hypothesis is the clause following the word "If".

Identify the term being defined:
It is the result of the condition.

Answer explanation

The conclusion is the then-clause of the statement.

Is the statement 'If it rains, then I will not leave.' in if-then form?

• YES

• NO

Answer explanation

The statement after the word "If" is the hypothesis and the statement after the word "then" is the conclusion.

What is the hypothesis in the statement 'If I will go to church, then it is Sunday.'?

• I will go to church

  
  

• it is Sunday

  
  

Answer explanation

The hypothesis is the clause after the word “if”.

What is the conclusion in the statement 'If an animal is a bird, then it has feathers.'?

• it has feathers

  
  

• an animal is a bird

  
  

Answer explanation

The conclusion is after the word “then”.

Rewrite the statement:
x+5=3 when x=−2.

• If x=−2, then x+5=3.

• If x+5=3, then x=−2.

• If x=−3, then x+5=2.

• If x+5=2, then x=−3.

Answer explanation

The word "when" is almost synonymous to the word "if". Thus, the hypothesis in this case follows the word "when", that is, x=−2, The conclusion is x+5=3. From this, we get the if-then form of the statement: If x=−2, then x+5=3.

Determine if the following statement is true or false:
The if-then form of 'When it rains, it pours.' is 'If it rains, then it pours.'.

• TRUE

• FALSE

Answer explanation

The hypothesis is 'it rains' and the conclusion is 'it pours'.

Rewrite the statement in if-then form:
'I will leave early so that I won't be late.'

• If I will not be late, then I will leave early.

  
  

• If I will be early, then I will leave.

  
  

• If I will leave early, then I will not be late.

  
  

• If I will be late, then I will leave early.

  
  

Answer explanation

We can think of the given statement as a cause-and-effect statement where the cause (leaving early) may be stated using "if" and the effect (not being late) may be stated using "then".

Rewrite the following statement in if-then form:
A pentagon has five sides.

• If a polygon is a pentagon, then it has five sides.

  
  

• If a pentagon has five sides, then it is a polygon.

  
  

Answer explanation

Identify the hypothesis (being a pentagon) and conclusion (having five sides) first then rewrite it using the if-then form. You may have to rephrase some parts of the statement to be able to use the words "if" and "then".

Rewrite the following statement in if-then form:
All dogs hate cats.

• If an animal is a dog, then it hates cats.

• If an animal is a cat, then it hates dogs.

• If an animal is a dog, then it loves cats.

• If an animal is not a dog, then it hates cats.

Answer explanation

Identify the hypothesis (being a dog) and conclusion (hating cats) first then rewrite it using the if-then form. You may have to rephrase some parts of the statement to be able to use the words "if" and "then".