For each part below, write an inequality to represent the given statement. Then graph the inequality on the number line.(a)The duration of a video is more than 8 minutes. Use d for the duration in minutes.Inequality: Graph:123456789101112131415(b)The duration of a video is between 3 minutes and 6 minutes, inclusive. Use d for the duration in minutes.Inequality: Graph:123456789101112131415CheckSave For LaterSubmit AssignmentTerms of Use
Question
For each part below, write an inequality to represent the given statement. Then graph the inequality on the number line.(a)The duration of a video is more than 8 minutes. Use d for the duration in minutes.Inequality: Graph:123456789101112131415(b)The duration of a video is between 3 minutes and 6 minutes, inclusive. Use d for the duration in minutes.Inequality: Graph:123456789101112131415CheckSave For LaterSubmit AssignmentTerms of Use
Solution
(a) The inequality to represent the statement "The duration of a video is more than 8 minutes" is d > 8.
To graph this on a number line, you would draw a circle at 8 on the number line, and then draw a line extending to the right from 8, indicating that the duration can be any number greater than 8.
(b) The inequality to represent the statement "The duration of a video is between 3 minutes and 6 minutes, inclusive" is 3 ≤ d ≤ 6.
To graph this on a number line, you would draw a closed circle at 3 and 6 on the number line, and then draw a line connecting the two circles, indicating that the duration can be any number between 3 and 6, inclusive.
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