To determine which set of numbers includes only integers, we need to check each set for any non-integer values.
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Set 1: { -3, 0, \(\frac{5}{6}\), 5, 45 }
- Contains: -3 (integer), 0 (integer), \(\frac{5}{6}\) (not an integer), 5 (integer), 45 (integer)
- Conclusion: Contains non-integer (\(\frac{5}{6}\)).
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Set 2: { -9, -3, 0, 5.7, 7.8 }
- Contains: -9 (integer), -3 (integer), 0 (integer), 5.7 (not an integer), 7.8 (not an integer)
- Conclusion: Contains non-integers (5.7 and 7.8).
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Set 3: { -3, -2 \(\frac{4}{5}\), 5, 7, 53 }
- Contains: -3 (integer), -2 (integer), \(\frac{4}{5}\) (not an integer), 5 (integer), 7 (integer), 53 (integer)
- Conclusion: Contains non-integer (\(\frac{4}{5}\)).
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Set 4: { -10, -7, 0, 98, 145 }
- All values are: -10 (integer), -7 (integer), 0 (integer), 98 (integer), 145 (integer)
- Conclusion: All are integers.
The only set that includes only integers is:
{ -10, -7, 0, 98, 145 }