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Question

Which one of the following graphs represents a compound inequality?
Note: In a number line, a closed circle on the number gets included in the solution, while an open circle on the number will not get included in the solution.

A
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B
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C
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D
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Solution

The correct option is D
Definition: A pair of inequalities (compound inequality) are connected by "and"/"or" statement.
Option (a):
A closed circle at 4 and the red line goes to the left, indicating that x is less than or equal to 4.
x4

Option (b):

A closed circle at 4 and the red line goes to the right, indicating that x is greater than or equal to 4.
x4

Option (c):

A closed circle at 4 indicating that x is equal to 4.
x=4

Option (d):

A closed circle at 4, 7 and the red line goes from 4 to 7, indicating that x is less than or equal to 4, but greater than or equal to 7.
x4 and x7
Hence, Option d is correct.

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