Q. 6. Which is the same as {x∣x<−1.5} ?F. (−∞,−1.5)G. (−∞,−1.5]H. [−1.5,∞)J. (−1.5,∞]
Identify Inequality and Interval: Identify the inequality and the corresponding interval notation.The inequality x<−1.5 means all numbers less than −1.5, but not including −1.5 itself.
Match Inequality to Notation: Match the inequality to the correct interval notation.Since −1.5 is not included, we use a parenthesis. The interval starts from negative infinity and goes up to, but does not include, −1.5.
Choose Correct Answer: Choose the correct answer from the options.F. (−∞,−1.5) is the correct interval notation because it includes all numbers less than −1.5 without including −1.5 itself.
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