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| $8$ . $6$ | $\square$ $-8$ $\newline$ Choose $1$ answer: $\newline$ (A) $<$ $\newline$ (B) $>$ $\newline$ (C) $=$

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Integer inequalities with absolute values

Full solution

Q. |

8

.

6

|

\square

-8

\newline

Choose

1

answer:

\newline

(A)

<

\newline

(B)

>

\newline

(C)

=

Find Absolute Value: We need to find the absolute value of $8.6$ . The absolute value of a number is the distance of that number from $0$ on the number line, regardless of direction. Since $8.6$ is positive, its absolute value is the same as the number itself. $\newline$ Absolute value of $8.6$ = $|8.6|$ = $8.6$
Compare Absolute Values: Now we compare the absolute value of $8.6$ to $-8$ . Since absolute values are always non-negative, and $-8$ is a negative number, the absolute value of $8.6$ will be greater than $-8$ . $\newline$ $8.6 > -8$
Correct Symbol: Therefore, the correct symbol to place in the blank to compare $|8.6|$ and $-8$ is '\(>\'.

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What is the equation for

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\$ 200

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\mathbf{2 2}

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