Question

The number line shows the graph of an inequality:

A number line is shown from negative 5 to positive 5 with increments of 0.5. All the whole numbers are labeled on the number line. An empty circle is shown on the seventh mark to the left of 0. The region to the left of the empty circle is shaded.

Which statement explains whether −4.5 can be a value in the shaded region? (5 points)

Group of answer choices

No it cannot, because −4.5 lies to the left of −3.5.

No it cannot, because −4.5 lies to the right of −3.5.

Yes it can, because −4.5 lies to the right of −3.5.

Yes it can, because −4.5 lies to the left of −3.5.

Answer 1

Problem says that the number line shows the graph of an inequality: A number line is shown from negative 5 to positive 5 with increments of 0.5. All the whole numbers are labeled on the number line. An empty circle is shown on the third mark to the left of 0. The region to the left of the empty circle is shaded. Graph is not given so I have created graph as per given description.

Now we have to select correct choice.

From graph we can easily see that third statement

"Yes it can, because −3.5 lies to the left of −1.5. " is correct.

Explanation:

The answer is D