Mathematics
Grade6
Easy

Question

Match the graph with its inequality.

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

hintHint:

A mathematical representation of relationship between 2 or more variables or a variable and a constant wherein the relationship is not equal. i.e. greater than/ greater than or equal to/ less than/ less than or equal to. is known as inequality.

The correct answer is: x  <  -4


    TO FIND-
    Inequality that represents the given situation.
    SOLUTION-
    Let x be the variable that is represented on the given number line.
    From the given graph, we observe that x assumes the following values-
    x = -5, x = -6,...........................
    Hence, x assumes values that are less than -4.
    Hence, x < -4.
    Final Answer:-
    Option 'b' i.e. 'x < -4' is the correct answer to the given question.

    Since portion for -4 is hollow i.e. not shaded, -4 is not included in the inequation. i.e. -4 is not a solution to the given inequality.
    Hence, we take x < -4 and not x <= -4.

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