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
an infinite number
an infinite number
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 .
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 .
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page 12 of 12
Based on the given information, the inequality x≤−1 represents all the values less than or equal to negative 1. Since we are looking for the solutions between -4 and -5, which are both greater than -1, there are no solutions in this range. Therefore, the correct answer is:
There are zero solutions between -4 and -5.