Show that if p(a) ⊂ p(b) then a ⊂ b.
<span>I will assume p() means power set. </span>
<span>proof: let x∈a, then {x} ∈ p(a) and so by hypothesis {x} ∈ p(b). However {x} could not be in p(b) unless x∈b. This shows that each element of a is an element of b and hence a ⊂ b.
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So,
The ratio of dogs to cats:

The other proportion:


5 times 28 is 140.
Multiply the fraction by the appropriate form of 1

There are 56 dogs when the number of cats is 140.
Answer: The answer is (D). Zhao Xue doesn’t have enough money left to buy any yofurt
Step-by-step explanation: Given that Zhao Xue is buying buy milk and yogurt, a total of at least 6.5 gallons of dairy products and she has a budget of $20. The given graph represents the constraints on the number of gallons of milk 'M' and yogurt 'Y' Zhao Xue buys. Zhao Xue buys 4 gallons of milk. We need to calculate the number of gallons of yogurt she can buy to meet both her constraints.
From the graph, we can write
Condition A :

Condition B :

Now, if she buys 4 gallons of milk, the the conditions become

Here, there will be no solution to these constraints.
Therefore, she does not have enough money left to buy any yogurt.
Thus, the correct option is (D).
Answer:
Domain: All real numbers greater than or equal to 1.
Step-by-step explanation:
Answer 1: -14 is not in the domain
Answer 2: 4 is included in the domain
<span>30% of $2,341.90 is $702.57.
(0.3 * 2341.9)
Hope this helps!</span>