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Question

Is it possible for the graph of an inequality to consist of only one number? If so, explain how it is possible and provide an example to support your answer

Answer 1

If I understand your quesiton correctly, it is possible for the graph of an inequality to consist of only one number.

Examples include:

y > 5

This means that y is greater than +5 and not equal to +5.

Since this is a y value, you would draw a dashed horizontal line parallel to the x axis that passes through +5 on the y axis. The line is dashed to indicate that the value of +5 is not a possible value. But since this is y > 5, then you shade the entire area above that line to indicate where all the possible values occur.

Another example is

x < -3

This means that x is less than -3 and not equal to -3.

Since this is a x value, you would draw a dashed vertical line parallel to the y axis that passes through -3 on the x axis. The line is dashed  to indicate that the value of -3 is not a possible value. But since this is x < -3, then you shade the entire area below that line to indicate where all the possible values occur.

Answer 2

Think of all counting numbers more than 5 but less than 7. In symbols this would be:     5<X<7

The only possible answer is X = 6 ( only one number)