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DedPeter [7]
3 years ago
12

The picture below shows the graph of which inequality

Mathematics
1 answer:
hichkok12 [17]3 years ago
7 0

The formula of a slope:

m=\dfrac{y_2-y_1}{x_2-x_1}

We have points:

(-2,\ 4)\to x_1=-2;\ y_1=4\\(3;\ -6)\to x_2=3;\ y_2=-6

substitute:

m=\dfrac{-6-4}{3-(-2)}=\dfrac{-10}{3+2}=\dfrac{-10}{5}=-2

Shaded left from the line therefore the inequality sign is ≤.

Your answer: C. y ≤ -2x

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Find a compound proposition involving the propositional variables p, q, and r that is true when exactly two of p, q, and r are t
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Step-by-step explanation:

This compound proposition C uses the outer disjunction (∨) then the proposition is true if and only if one of the three propositions (p∧q∧¬r),(p∧¬q∧r),(¬p∧q∧r) is true.

First, it is impossible that two or three of these propositions are simultaneously true. For example, if (p∧q∧¬r) and (p∧¬q∧r) are both true, then ¬r is true (from the first conjuntion) and r is true (from the second one), a contradiction. All the other possibilities can be discarded reasoning in the same way.

Since these propositions are mutually excluyent, C is true if and only if exactly one of the three propositions is true (and false otherwise). This can only happen if exactly two of p,q, and r are true and the other one is false. For example, (p∧q∧¬r) is true when p and q are true, and r is false.

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