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Seek simple and succinct solutions in these systems by sussing-out the significant symmetries.

How many integers \(n\) satisfy the inequality \( 22 \leq n \leq 49\)?

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by **Brilliant Staff**

How many integers are greater than or equal to \( 986\) but strictly less than \(1031?\)

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by **Brilliant Staff**

How many integers \(n\) are there satisfying the inequality \[479 < n < 559?\]

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How many positive 2 digit numbers are there, such that the units digit is strictly smaller than the tens digit?

**Details and assumptions**

The number \(12=012\) is a 2-digit number, not a 3-digit number.

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by **Brilliant Staff**

examples, and problems from the community.

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by **Brilliant Staff**

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