Let's analyze the given expression and determine its equivalent value step-by-step.
The given expression is [tex]\( |4 - 3| \)[/tex].
1. Subtraction Inside the Absolute Value: First, we need to subtract the numbers inside the absolute value.
[tex]\[
4 - 3 = 1
\][/tex]
2. Absolute Value Calculation: Next, we take the absolute value of the result. The absolute value of a number is its distance from zero on the number line, without considering the direction. Therefore, the absolute value of 1 is:
[tex]\[
|1| = 1
\][/tex]
Hence, [tex]\( |4 - 3| = 1 \)[/tex].
Now, we need to select the expression that matches this result from the provided options:
1. [tex]\( 1 \)[/tex]
2. [tex]\( \sqrt{7} \)[/tex]
3. [tex]\( 5i \)[/tex]
4. [tex]\( 5 \)[/tex]
From the calculation, we know that the equivalent expression is [tex]\( 1 \)[/tex].
Therefore, the correct option is:
1
