Two possible solutions are: (4.5, 8.5) and (8, 6.3)
<h3>How to graph the inequality?</h3>Let x represents hours dog walking and y represents hours washing cars.
So, we have:
Earnings = Rate of dog walk * x + Rate of car wash * y
This gives
Earnings = 7x + 11y
He wants to earn at least $125.
This means that:
7x + 11y ≥ 125
See attachment for the graph of the inequality
From the attached graph, two possible solutions are: (4.5, 8.5) and (8, 6.3)
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Answer:
15 is the total number of animals for which (p ∨ q) ∧ r true.
Step-by-step explanation:
From the diagram it is clear that
p contains {2, 5, 8, 9}
q contains {2, 4, 7, 5}
r contains {2, 4, 6, 9}
p ∨ q is the union of p and q which include all the animals which are in p, in q, or in both p and q.
Note: p ∨ q can not have duplicate animals
So,
p ∨ q = {2, 4, 5, 7, 8, 9}
(p ∨ q) ∧ r contains the animals which need to be common in both (p ∨ q) and r.
As
p ∨ q = {2, 4, 5, 7, 8, 9}
r = {2, 4, 6, 9}
So,
(p ∨ q) ∧ r = {2, 4, 9}
As
Therefore, 15 is the total number of animals for which (p ∨ q) ∧ r true.
Keywords: union, and operation, or operation
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