Solutions of Inequalities Quick Check

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Question
Use the image to answer the question.

A number line with arrows at both the ends ranges from negative 10 to 10 in unit increments. A closed point is marked on negative 5. A rightward arrow extends along the number line from the closed point toward 10 and beyond.

The image shows solutions to the inequality x≥−5. Identify the meaning of the arrowhead at right.

(1 point)
Responses

It shows that the values are increasing from −5.
It shows that the values are increasing from negative 5 .

It shows that the values are not continuous.
It shows that the values are not continuous.

It shows the answers extend on to infinity.
It shows the answers extend on to infinity.

It shows that the values extend to 11.
It shows that the values extend to 11.

It shows that the answers extend on to infinity.

Solutions of Inequalities Quick Check

4 of 54 of 5 Items

Question
Use the image to answer the question.

A number line with arrows at both the ends ranges from negative 10 to 10 in unit increments. A closed point is marked on negative 1. A leftward arrow extends along the number line from the closed point toward negative 10 and beyond.

The image shows solutions to the inequality x≤−1 . How many solutions are there between −4 and −5 ?

(1 point)
Responses

There are 999 solutions: all the decimals from −4.001 to −4.999.
There are 999 solutions: all the decimals from negative 4.001 to negative 4.999 .

There are 9,999 solutions: all the decimals from −4.0001 to −4.9999.
There are 9,999 solutions: all the decimals from negative 4.0001 to negative 4.9999 .

There are 99 solutions: all the decimals from −4.01 to −4.99.
There are 99 solutions: all the decimals from negative 4.01 to negative 4.99 .

an infinite number

There are 99 solutions: all the decimals from −4.01 to −4.99.