Conditional Statements
Write the inverse
If the weather is nice, then I will wash the car.
If the weather is not nice, then I won't wash the car
What law? or invalid?
If phones and video games weren't invented, then we would all be more sociable.
If we are more sociable then there would be less bullies
Law of Syllogism
If you skip leg day, then you'll have chicken legs.
If you don't have chicken legs, then you didn't skipped leg day.
Contrapositive
Let p= You are fast Let q= You can beat an ostrich
Translate: You are fast and you can beat an ostrich
P A q
What is the contrapositive of the following statement? If Sally is 6 feet tall, then she plays basketball.
If sally does not play basketball, then she is not 6 feet tall
Write the converse : If I love milk chocolate, then I hate dark chocolate.
If I hate dark chocolate love milk, then I love milk chocolate
What law or invalid?
If you follow your dreams, then your dreams come true.
Your dreams come true
Invalid
If not q, then p.
If P then not q
converse
Let p= You are strong Let q= You can flip a car If you are strong, then you can flip a car. ~q - ~p
If you can't flip a car, then you are not strong.
"If angles are congruent, then the measures of the angles are equal." Identify the inverse.
"If angles are not congruent, then the measures of the angles are not equal."
Write the contrapositive
If Jerimya is not skilled in Call of Duty, then he's K/D ratio is horrific.
If Jerimya K/D ratio is horrific, then he is not skilled in Call of Duty.
Write the conclusion or not valid
If Jake studied, then he passed the test.
If he passed the test, then he was happy
If Jake studied then he was happy
If you love Iphones, then you hate Samsung phones.
If you don't love Iphones, then you don't hate Samsung
Inverse
Let p= You are tall Let q= You can dunk easy
Translate : ~p - ~ q
If you are not tall, then you cant dunk easy
"If Sharquisha is on stage, then she needs make up." Identify the inverse.
If she does not need make up, then Sharquisha is not on stage.
Write the inverse:
If Lil Yachty does not have a better album sales than Fetty Wap, then Lil Yachty is not better the Fetty Wap.
If Lil Yachty have a better album sales than Fetty Wap, then Lil Yachty is better than Fetty Wap
Final conclusion? or invalid?
P then Q
R then P
R then Q
If you're a vegetarian, then you don't eat meat
If you eat meat then you are not a vegetarion
Contrapositive
Let p= The clouds are not dark Let q= It is going to rain. Translate ~p - q
If the clouds are dark, then it is going to rain.
" If Isiah is playing baseball, then he needs a bat." Identify the contrapositive.
If he does not need a bat, then Isiah is not playing baseball
P then ~ Q
~Q then P
Conclusion or not valid
If M then ~T
~T
Not valid
The inverse is
If a run and exercise everyday, then I'll do well in my sport.
What is the original
If I don't run and exercise everyday then I won't do well in my sport
Let p= The snow storm is coming Let q= People buy tons of food to prepare Translate : The snow storm is not coming and people are buying tons of food to prepare
~p A q
If 3x does not equal 6, then x does not equal 2. Identify the converse.
If x does not equal 2, then 3x does not equal 6