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How to Determine Which Interval Is Larger

In mathematics, an interval refers to the set of all real numbers given between two numbers. Depending on how the equation is written, the interval may include the numbers that begin and end the interval, or they may begin and end with the number directly to the left or right of the interval along the mathematic line. For example, an interval between the numbers 2 and 8 with a greater-than-or-equal-to sign in between includes both numbers. However, an interval with simply a greater-than symbol does not include the number 2 because the number must be "greater than." Therefore, 2.01, for example, would be included in the interval set.

Instructions

    • 1

      Write the intervals into two mathematical subtraction equations. For example, if you are trying to determine which interval is bigger between 3 and 10 or 7 and 6, covert them into subtraction equations:

      10 - 3 = x

      7 - 6 = x

    • 2

      Perform the subtraction. Using the examples from Step 1, the answers are:

      10 - 3 = 7

      7 - 6 = 1

    • 3

      Compare the two numbers to determine which one is larger. Using the answers from Step 2, the number 7 is greater than 1, and therefore the larger interval.

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