Conditional statement is a statement with a hypotesis and a conclusion:
or mathematically
.
Converse statement of
is statement
.
If you negate (that means stick a "not" in front of) both the hypothesis and conclusion, you get the inverse:
.
Finally, if you negate everything and flip p and q (taking the inverse of the converse) then you get the contrapositive:
.
Example:
1. Conditional statement: If I am sleeping, then I have closed eyes. (true)
2. Converse statement: If I have closed eyes, then I'm sleeping. (not necessarily true)
3. Inverse statement: If I'm not sleeping, then I haven't closed eyes. (not necessarily true)
4. Contrapositive statement: If I haven't closed eyes, then I'm not sleeping. (true)
1.50•8 = 12 plus the 2 dollars so the total will be 14
Answer:
1.The ratio of dogs to cats is 3 to 4
2. For every 3 dogs there are 4 cats.
Step-by-step explanation:
Answer:
x and y = 0
the question looks weird and almost wrong because when you subtract the equations, you are left with nothing
Step-by-step explanation:
Multiply the top equation by 3 to make the -x a -3x instead.
Then do the top equation - the bottom equation
At this point you should be left with x