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3 years ago

If we know that p → q is true and p is true, what do we know about q?

Mathematics

2 answers:

Harrizon [31]3 years ago

8 0

Answer:

Step-by-step explanation:

If p and q are both true, then p→q is true.

If p is true, q is false, then p→q is false.

If p is false, q is true, then p→q is true.

If p and q are both false, then p→q is true.

So if you know that p→q and p are both true, then q must be true (because if q is false, then p→q must be false).

Ede4ka [16]3 years ago

7 0

It will be true it will be false if p or q is fals

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Answer:

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Step-by-step explanation:

Let $x be the price of one slice of pizza and $y be the price of one soft pretzel.

1. 9 slices of pizza cost $9x and 5 soft pretzels cost $5y. Together they cost $33.25, then

9x+5y=33.25.

2. 4 slices of pizza cost $4x and 6 soft pretzels cost $6y. Together they cost $19.50, then

4x+6y=19.50.

3. Solve the system of two equations:

$\left\{\begin{array}{l}9x+5y=33.25\\4x+6y=19.50\end{array}\right..$

Multiplythe first equation by 4, the second equation by 9 and subtract them:

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Then

$4x+6\cdot 1.25=19.50,\\ \\4x=19.50-7.50,\\ \\4x=12,\\ \\x=\$3.$

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