Question

10) A kennel has enough space to hold at most 80 cats and dogs. If c represents the number of cats in
the kennel and d represents the number of dogs, which inequality describes the capacity of the
kennel?
a) c+d>80
b) c+d≥ 80
c) c + d < 80
d) c+d≤80

Answer 1

Greetings from Brasil...

The kennel holds up to 80 animals. It can hold nothing more than 80 animals. In this case the number of dogs and cats must be less than and equal to 80, as this is the limit of the kennel. In this case we can write:

C + D ≤ 80

C + D > 80 or C + D ≥ 80 → I would be saying that the kennel holds more than 80 animals - wrong alternative.

C + D < 80 → in this situation I would be saying that the kennel holds up to 79 animals - wrong alternative.

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Answer 2

Answer:

D)  c + d ≤ 80

Step-by-step explanation:

Inequality symbols:

• < means "less than".
• > means "greater than".
• ≤ means "less than or equal to".
• ≥ means "greater than or equal to".

Given:

• c = number of cats
• d = number of dogs

Therefore, "Cats and dogs" is "c + d".

If a kennel has enough space to hold at most 80 cats and dogs, this means that it can hold less than 80 cats and dogs or exactly 80 cats and dogs.

Therefore, the inequality that describes the capacity of the kennel is:

• c + d ≤ 80