Sure, let's evaluate the given mathematical expression step-by-step.
The expression is:
[tex]\[ \frac{[5 + 8 \times (3 + 2)]}{9} - 1 \][/tex]
Step 1: Simplify inside the parentheses.
[tex]\[ 3 + 2 = 5 \][/tex]
Step 2: Substitute this result back into the expression.
[tex]\[ \frac{[5 + 8 \times 5]}{9} - 1 \][/tex]
Step 3: Perform the multiplication inside the brackets.
[tex]\[ 8 \times 5 = 40 \][/tex]
Step 4: Substitute this result back into the expression.
[tex]\[ \frac{[5 + 40]}{9} - 1 \][/tex]
Step 5: Add the numbers inside the brackets.
[tex]\[ 5 + 40 = 45 \][/tex]
Step 6: Substitute this result back into the expression.
[tex]\[ \frac{45}{9} - 1 \][/tex]
Step 7: Perform the division.
[tex]\[ 45 \div 9 = 5 \][/tex]
Step 8: Complete the final subtraction.
[tex]\[ 5 - 1 = 4 \][/tex]
So, the value of the expression is [tex]\( 4 \)[/tex].
Therefore, the correct answer is:
b.) 4
