Questions: Which of the following are counterexamples to the statement, "All negative numbers are integers"? Select all that apply. Select Answer(s) π -150% -7/2 -7 3 -π

Which of the following are counterexamples to the statement, "All negative numbers are integers"? Select all that apply.

Select Answer(s)

π

-150%

-7/2

-7

3

-π

Transcript text: Which of the following are counterexamples to the statement, "All negative numbers are integers"? Select all that apply. Read more about counterexamples. Select Answer(s) $\pi$ $-150 \%$ $-\frac{7}{2}$ $-7$ 3 $-\pi$ Note: Clicking any button other than the Save Answer button will NOT save any changes to your answers! Save Answer Skip Question IAm Finished/Submit for Grade

Solution

Solution Steps

To determine which of the given options are counterexamples to the statement "All negative numbers are integers," we need to identify which of the options are negative numbers but not integers. A counterexample would be a negative number that is not an integer.

Step 1: Understand the Statement

The statement to evaluate is "All negative numbers are integers." A counterexample would be a negative number that is not an integer.

Step 2: Identify the Nature of Each Option

Let's evaluate each option to determine if it is a negative number and whether it is an integer:

$\pi$: This is a positive irrational number, not a negative number.
$-150\%$: This is a negative number. Converting $-150\%$ to a decimal gives $-1.5$, which is not an integer.
$-\frac{7}{2}$: This is a negative number. It is equal to $-3.5$, which is not an integer.
$-7$: This is a negative integer.
3: This is a positive integer, not a negative number.
$-\pi$: This is a negative irrational number, not an integer.

Step 3: Determine the Counterexamples

From the analysis above, the counterexamples to the statement "All negative numbers are integers" are the negative numbers that are not integers. These are: