Mathematics
Grade10
Easy

Question

Identify the inequality that matches the picture.

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

hintHint:

We are given a graph. The inequality is plotted on the graph. We have to write the inequality in mathematical form. We will see the limits of the inequality to write the answer.

The correct answer is: x ≤ 3


    The blue line on the graph represents the inequality. It starts at 3 and continues backwards.
    Let x denotes the values satisfying the inequality.
    So, the variables satisfying the inequality are less than 3.
    Now, we have to check if the values also included 3. From the graph, at point 3 there is a closed circle. So, 3 satisfies the inequality. It’s included in the given values.
    The variable x is less than or equal to 3
    Mathematical form: x ≤ 3

    We have to be careful about the limits of the inequality to solve the question.

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