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An interval comprises the numbers lying between two specific given numbers.
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In other words, it is a way of writing subsets of the real number line. The table below gives a summary of interval notation. Interval notation is a method to represent an interval on a number line. Use the sign if the set is unbounded on the left, and if it is unbounded on the right. The numbers should be written in interval notation with the smaller number on the left number line. Graph the interval’s solution set on a number line. Brackets,, are used to indicate that an endpoint is included, called inclusive. To convert an inequality to interval notation, follow the steps shown below.Parentheses, ( or ), are used to signify that an endpoint is not included, called exclusive.The largest term in the interval is written second, following a comma. The following notation can be entered for both mathPad and calcPad questions unless otherwise indicated.The smallest term from the interval is written first.Third, if there is an even root, consider excluding values that would make the radicand negative.īefore we begin, let us review the conventions of interval notation: Second, if there is a denominator in the function’s equation, exclude values in the domain that force the denominator to be zero. First, if the function has no denominator or an even root, consider whether the domain could be all real numbers. Solution: Inequality -3 inequality x less than 1. To double-check your results, use the online interval notation calculator. Oftentimes, finding the domain of such functions involves remembering three different forms. On a number line, draw the interval -3, 1) and specify the inequality, topology, and length. Let’s turn our attention to finding the domain of a function whose equation is provided. We will discuss interval notation in greater detail later.