How to slove for compound inequalities

1 answer:

8 0

To solve a compound inequality, first separate it into two inequalities. Determine whether the answer should be a union of sets ("or") or an intersection of sets ("and"). Then, solve both inequalities and graph

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What is the gcf of 45 and 9?

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Answer:

Step-by-step explanation:

The factors of 9 are: 1, 3, 9

The factors of 45 are: 1, 3, 5, 9, 15, 45

Then the greatest common factor is 9.

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Answer:

$12d+34>100$

Step-by-step explanation:

Let d be the number of days.

We have been that each day Katie finds 12 more seashells on beach, so after collecting shells for d days Katie will have 12d shells.

We are also told that Katie already has 34 seashells in her collection, so total number of shells in Katie collection after d days will be: $12d+34$

As Katie wants to collect over 100 seashells, so the total number of shells collected in d days will be greater than 100. We can represent this information in an inequality as:

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Therefore, the inequality $12d+34>100$ can be used to find the number of days, d, it will take Katie to collect over 100 seashells.

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