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Determine if the statement is true or false. Use the real number line to justify.
[tex]\[ -8 \ \textless \ |-8| \][/tex]

Part 1 of 3:
Determine if the statement is true or false.

A. True
B. False



Answer :

Part 1 of 3

To determine if the statement [tex]\( -8 < |-8| \)[/tex] is true or false, let's analyze and compare each part of the statement:

1. First, identify the value on the left side of the inequality:
[tex]\[ -8 \][/tex]

2. Next, identify and calculate the value on the right side of the inequality. The absolute value of [tex]\(-8\)[/tex] is:
[tex]\[ |-8| = 8 \][/tex]

3. Now, compare the two values:
[tex]\[ -8 < 8 \][/tex]

Since [tex]\(-8\)[/tex] is indeed less than [tex]\(8\)[/tex], the statement [tex]\( -8 < |-8| \)[/tex] is true.

Based on this evaluation:

### Determine if the statement is true or false.
- True

Thus:
- True

Part: [tex]$1 / 3$[/tex] [tex]$\checkmark$[/tex]