Hypotheses and Conclusions

A conditional statement (also called an if-then statement) is a statement with a hypothesis followed by a conclusion.

The conclusion is the result of a hypothesis.

Identify hypotheses and conclusions

If you get good grades, Then you will get into a good college.

The part after the "if": you get good grades - is called a hypotheses and the part after the "then" - you will get into a good college - is called a conclusion. ...

IF hypotheses THEN conclusions

If x = 3, then x² = 9.

Hypothesis: "x = 3"

Conclusion: "x² = 9"

IF hypotheses THEN conclusions

If you do your homework, then you can watch TV.

Hypothesis: "you do your homework"

Conclusion: "you can watch TV"

If-then statements might not always be written in the “if-then” form.

Here are some examples of conditional statements:

Statement 1: If you work overtime, then you’ll be paid time-and-a-half.

Statement 2: I’ll wash the car if the weather is nice.

Statement 3: If 2 divides evenly into x, then x is an even number.

Statement 4: I’ll be a millionaire when I win the lottery.

Statement 5: All equiangular triangles are equilateral.

IF hypotheses THEN conclusions

 I'll bring an umbrella if it rains.

Hypothesis: "It rains."

Conclusion: "I'll bring an umbrella."

IF hypotheses THEN conclusions

If a triangle has three congruent sides, it is an equilateral triangle.

Hypothesis: "a triangle has three congruent sides"

Conclusion: "a triangle is an equilateral triangle."

The

If-Then

Statement

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Hypotheses and Conclusions

A conditional statement (also called an if-then statement) is a statement with a hypothesis followed by a conclusion.

The conclusion is the result of a hypothesis.

Identify hypotheses and conclusions

If you get good grades, Then you will get into a good college.

The part after the "if": you get good grades - is called a hypotheses and the part after the "then" - you will get into a good college - is called a conclusion. ...

IF hypotheses THEN conclusions

If x = 3, then x² = 9.

Hypothesis: "x = 3"

Conclusion: "x² = 9"

IF hypotheses THEN conclusions

If you do your homework, then you can watch TV.

Hypothesis: "you do your homework"

Conclusion: "you can watch TV"

If-then statements might not always be written in the “if-then” form.

Here are some examples of conditional statements:

Statement 1: If you work overtime, then you’ll be paid time-and-a-half.

Statement 2: I’ll wash the car if the weather is nice.

Statement 3: If 2 divides evenly into x, then x is an even number.

Statement 4: I’ll be a millionaire when I win the lottery.

Statement 5: All equiangular triangles are equilateral.

IF hypotheses THEN conclusions

 I'll bring an umbrella if it rains.

Hypothesis: "It rains."

Conclusion: "I'll bring an umbrella."

IF hypotheses THEN conclusions

If a triangle has three congruent sides, it is an equilateral triangle.

Hypothesis: "a triangle has three congruent sides"

Conclusion: "a triangle is an equilateral triangle."