Mathematics
Grade10
Easy

Question

Write an inequality to represent the following:
Tracy's car can fit up to 5 friends. Which inequality represents the number of friends she can drive?
Let x represent the number of friends Tracy can fit in her car.

  1. x > 5    
  2. x ≥ 5    
  3. x < 5    
  4. x ≤ 5    

Hint:

We are given a statement. We have to write the expression of inequality for the given statement. We have to see the limits given for the required value.

The correct answer is: x ≤ 5


    The given statement is as follows:
    Tracy’s car can fit up to 5 friends.
    We are asked to find inequality for the number of friends she can drive
    The variable x represents the number of friends that can fit Tracy’s car.
    Tracy’s car can fit 5 friends means, this is the maximum limit of the number of friends that can fit her car. She can drive number of friends equal to 5 or less than 5. As more friends cannot fit in the car, 5 is the limit.
    So, the variable x can be less than or equal to 5
    The sign for less than or equal to 5 is “≤5”
    The mathematical representation of the inequality is as follows:
    x ≤ 5
    This is the given inequality.

    For such questions, we have to be careful about the limits.

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