For each part below, write an inequality to represent the given statement. Then graph the inequality on the number line.(a)The velocity of a particle is between 7 meters per second and 10 meters per second, inclusive. Use v for the velocity in meters per second.Inequality: Graph:123456789101112131415(b)The velocity of a particle is less than 11 meters per second. Use v for the velocity in meters per second.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 velocity of a particle is between 7 meters per second and 10 meters per second, inclusive. Use v for the velocity in meters per second.Inequality: Graph:123456789101112131415(b)The velocity of a particle is less than 11 meters per second. Use v for the velocity in meters per second.Inequality: Graph:123456789101112131415CheckSave For LaterSubmit AssignmentTerms of Use
Solution
(a) The inequality to represent the statement "The velocity of a particle is between 7 meters per second and 10 meters per second, inclusive" is 7 ≤ v ≤ 10.
To graph this inequality on the number line, you would shade or highlight the section of the number line that includes all numbers from 7 to 10, and put a closed circle or bracket at 7 and 10 to indicate that these numbers are included in the solution set.
(b) The inequality to represent the statement "The velocity of a particle is less than 11 meters per second" is v < 11.
To graph this inequality on the number line, you would shade or highlight the section of the number line that includes all numbers less than 11, and put an open circle or parenthesis at 11 to indicate that 11 is not included in the solution set.
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