Mathematics
Grade6
Easy
Question
Match the graph with its inequality.
- 11 < a
- 11 > a
- 11 ≤ a
- 11 ≥ a
Hint:
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: 11 ≤ a
TO FIND-
Inequality that represents the given situation.
SOLUTION-
Let a be the variable that is represented on the given number line.
From the given graph, we observe that a assumes the following values-
a = 11, a = 12, a = 13, a = 14,........................
Hence, a assumes values that are greater than or equal to 11.
Hence, 11 <= a.
Final Answer:-
Option 'd' i.e. '11 <= a' is the correct answer to the given question.
Since portion for 11 is shaded on the number line, 11 is included in the inequation. i.e. 11 is a solution to the given inequality.
Hence, we take 11 <= a and not 11 < a.
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