Set R contains all integers from 10 to 125, inclusive, and Set T contains all integers from 82 to 174, inclusive. How many integers are included in R, but not in T?

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72 integers

Step-by-step explanation:

Starting From 82-174 every integer is included in T so every integer that is not included in T but included in R would be 82-10 so every integer from 10 to 82.

The number of integers in set R that are not included in set T is 72.

Given:

Set R = {10 to 125}

Set T = {82 to 174}

To find:

  • number of integers in set R but not in T

Integers from 10 to 81 inclusive in set R are not in set T since set T starts from 82.

Integers in set R but not in set T = {10 to 81}

The number of integers from 10 to 81, inclusive = (81 - 10) + 1

                                                               = 71 + 1

                                                                = 72

Thus, the number of integers in set R that are not included in set T is 72.

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