Step-by-step explanation:
Statement:
Conditional: If the weather is nice, then I'll wash the car.
Converse: If I wash the car, then the weather is nice.
Inverse: If the weather is not nice, then I will not wash the car.
Contrapositive: If I do not wash the car, then the weather is not nice.
Symbolism:
p = the weather is nice, q = I'll wash the car
p = I'll wash the car, q = the weather is nice
p = the weather is not nice, q = I will not wash the car
p = I do not wash the car, q = the weather is not nice
Statements:
The weather is nice, I'll wash the car.
I'll wash the car, the weather is nice.
The weather is not nice, I will not wash the car.
I do not wash the car, the weather is not nice.
True or False:
True (if the weather is nice, then I'll wash the car)
False (It doesn't have to be true that if I'll wash the car, the weather is nice)
True (If the weather is not nice, then I will not wash the car)
True (If I do not wash the car, then the weather is not nice)
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Answers & Comments
Step-by-step explanation:
Statement:
Conditional: If the weather is nice, then I'll wash the car.
Converse: If I wash the car, then the weather is nice.
Inverse: If the weather is not nice, then I will not wash the car.
Contrapositive: If I do not wash the car, then the weather is not nice.
Symbolism:
p = the weather is nice, q = I'll wash the car
p = I'll wash the car, q = the weather is nice
p = the weather is not nice, q = I will not wash the car
p = I do not wash the car, q = the weather is not nice
Statements:
The weather is nice, I'll wash the car.
I'll wash the car, the weather is nice.
The weather is not nice, I will not wash the car.
I do not wash the car, the weather is not nice.
True or False:
True (if the weather is nice, then I'll wash the car)
False (It doesn't have to be true that if I'll wash the car, the weather is nice)
True (If the weather is not nice, then I will not wash the car)
True (If I do not wash the car, then the weather is not nice)