Question

9 - 2|-5 - (-3)|

Explanation:

Step1: Simplify the expression inside the absolute value

First, we simplify the expression inside the absolute value: \(-5 - (-3)\). Subtracting a negative is the same as adding the positive, so \(-5 - (-3) = -5 + 3 = -2\).

Step2: Evaluate the absolute value

Next, we take the absolute value of \(-2\). The absolute value of a number is its distance from zero on the number line, so \(|-2| = 2\).

Step3: Perform the multiplication

Now, we multiply \(2\) (from the absolute value) by \(2\) (the coefficient outside the absolute value): \(2\times2 = 4\).

Step4: Perform the subtraction

Finally, we subtract the result from \(9\): \(9 - 4 = 5\).

Answer:

\(5\)