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r-ruslan [8.4K]
3 years ago
9

Conditional statements I really need some help

Mathematics
1 answer:
Sloan [31]3 years ago
6 0

p -> q is represented as "If you have a library card, then you can check out books"

~q -> ~p is represented as "If you cannot check out books, then you do not have a library card" This is contrapositive by definition.

q -> p is represented as "If you can check out books, then you have a library card" This is the converse

~p -> ~q is represented as "If you do not have library card, then you cannot check out books". This is the inverse

p <-> q is represented as "You have library card if and only if you can check out books". This is the biconditional.


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In doing this you can use the factoring method to do this faster. Start by dividing both sides by two to simplify the equation. X^2 now equals 100.

You can move 100 to the other side of the equation so that x^2-100=0. You can now factor and solve using the zero product property.

x^2-100=0
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3 years ago
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3 years ago
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sattari [20]
Step 1.) Multiply both sides of the equation by -6

step 2.) Sum the equations vertically to eliminate at least one variable

step 3.) Divide both sides of the equation by

step 4.) Substitute the given value of into the equation x - 2y = 10

step 5.) Solve the equation for x

step 6.) The possible solution of the system is the ordered pair (x , y)

step 7.) Check if the given ordered pair is the solution of the system of equations

step 8.) Simplify the equalities

step 9.) Since all of the equalities are true, the ordered pair is the solution of the system


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vladimir1956 [14]

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Step-by-step explanation:

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If needed I could try to answer the 2nd question but I am sure that I got the first one right.

Step-by-step explanation:

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