Mathematics
Grade10
Easy

Question

When the temperature falls to -19°F or below, the school is cancelled. Which inequality shows the temperatures that would close the school?

  1. x > – 19    
  2. x ≥ – 19    
  3. x < – 19    
  4. x ≤ – 19    

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 ≤ – 19


    The given statement is as follows:
    When temperature falls to -19°F or below, the school is cancelled.
    We are asked the inequality that will close the school.
    Let represent the temperature by x.
    Temperature falls to -19°F or below means, the temperature is equal to the given quantity or less than it. For the temperature above this value the school will remain open.
    So, the variable x should be less than or equal to -19°F for school to remain closed.
    The sign for less than or equal to -19°F is “≤ -19°F”
    The mathematical representation of the inequality is as follows:
    x ≤ -19°F
    This is the given inequality.

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

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