Mathematics
Grade10
Easy

Question

Write an inequality to represent the following:
Karen has $25 to buy her best friend a gift. How much can the gift cost?
Let x represent the cost of the gift.

  1. x > 25    
  2. x ≥ 25    
  3. x < 25    
  4. x ≤ 25    

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 ≤ 25


    The given statement is as follows:
    Karen have $25 to buy her best friend a gift.
    We are asked how much the gift can cost.
    The variable x represents the cost of the gift.
    Karen have $25. This becomes the maximum limit. She cannot buy a gift that costs more than $25. But, the gift can cost less than $25 or $25 dollar.
    So, the variable x can be less than or equal to $25
    The sign for less than or equal to 25 is “≤25”
    The mathematical representation of the inequality is as follows:
    x ≤ 25
    This is the given inequality.

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

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