Write the inequality in interval notation, and graph the interval. See Example.3 ≤ x ≤ 5EX...
Write the inequality in interval notation, and graph the interval. See Example.
3 ≤ x ≤ 5
EXAMPLE Graphing a Three-Part Inequality
Write the inequality in interval notation, and graph the interval.
−1 ≤ x < 3
The statement is read “ − 1 is less than or equal to x and x is less than 3.” We want the set of numbers between − 1 and 3, with − 1 included and 3 excluded. In interval notation, we write [−1, 3), using a square bracket at − 1 because − 1 is part of the graph and a parenthesis at 3 because 3 is not part of the graph. See FIGURE 27.
FIGURE 27 Graph of the interval [−1, 3)
0 ≤ x < 2
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