Mathematics
Grade10
Easy

Question

Write an inequality to represent the following:
Only children of four and under are allowed to play with the equipment.
Let x represent the age of the children allowed on the equipment.

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

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 ≤ 4


    The given statement is as follows:
    Only children of four and under are allowed to play with the equipment.
    The variable x represents the age of children allowed on the equipment.
    Only children of four and under are allowed on the equipment means, 4 is the maximum limit of the age allowed. The children can have age less than 4 or 4. But, age more than 4 is not acceptable.
    So, the variable x can be less than or equal to 4
    The sign for less than or equal to 4 is “≤4”
    The mathematical representation of the inequality is as follows:
    x ≤ 4
    This is the given inequality.

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

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