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Write the following in interval notation.
A
(−∞,7]
B
[7,∞)
C
(7,∞)
D
(−∞,7)
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1
Identify the inequality given: \(x < 7\). This means \(x\) can be any number less than 7, but not equal to 7.
Recall that interval notation uses parentheses \((\ )\) to indicate that an endpoint is not included, and brackets \([\ ]\) to indicate that an endpoint is included.
Since \(x\) can be any number less than 7 but not equal to 7, the interval will not include 7, so use a parenthesis at 7: \((\ , 7)\).
Because \(x\) can be any number less than 7 extending indefinitely to the left, the interval starts at negative infinity, which is always represented with a parenthesis: \((-\infty, \ )\).
Combine these to write the interval notation for \(x < 7\) as \((-\infty, 7)\).