Question

A cruise ship needs to book at least 2,052 passengers to be profitable, but the most passengers the ship can accommodate is 2,462. Model the numbers of passengers that need to be booked to ensure the cruise line makes a profit, using a compound inequality.

x ≤ 2,052 and x ≥ 2,462
x ≥ 2,052 and x ≤ 2,462
x ≤ 2,052 and x ≤ 2,462
x ≥ 2,052 and x ≥ 2,462

Answer 1

Answer:
`x\geq2,052\text{ and }x\leq2,462`

Explanation:

Given : A cruise ship needs to book at least (more than or equals to) 2,052 passengers to be profitable, but the most (less than or equals to) passengers the ship can accommodate is 2,462.

Let x denotes the accommodate is 2,462. Model the numbers of passengers that need to be booked to ensure the cruise line makes a profit.

Then , we have the following compound inequality :-

`x\geq2,052\text{ and }x\leq2,462`

Answer 2

B

Explanation:

At least means that the amount is at least be this much, but it could be more:greater than or equal to. Since the ship could only take a certain amount of passengers , the amount of passengers should be less than the limit or equal to the limit, but can't be over.

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