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(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

Question

(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

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Solution

The inequality for the velocity of the particle would be: 7 ≤ v ≤ 10.

This means that the velocity (v) of the particle is greater than or equal to 7 meters per second and less than or equal to 10 meters per second.

To graph this inequality on a number line:

  1. Draw a number line from 0 to 15 (as per your given range).
  2. Mark the points 7 and 10 on the number line.
  3. Since the velocity is inclusive of 7 and 10, make a closed circle at these points.
  4. Shade or draw a line between these two points to represent all the possible values for v.

This graph represents all the possible velocities the particle can have, between 7 and 10 meters per second, inclusive.

This problem has been solved

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