Verified Answer :

Start with innermost parenthesis-(3+1)=4
then the next-12/4=3
then add 6=9
then multiply by the 2=18
then subtract 1

=17

The value of an expression is calculated by simplifying the expression.

The value of the expression is 17

The expression is given as:

\(\mathbf{2 \times \{6+[12 \div (3+1)\}-1}\)

Simplify 3 + 1

\(\mathbf{2 \times \{6+[12 \div (3+1)\}-1 = 2 \times \{6+[12 \div 4\}-1}\)

Divide

\(\mathbf{2 \times \{6+[12 \div (3+1)\}-1 = 2 \times \{6+[3\}-1}\)

Remove square bracket

\(\mathbf{2 \times \{6+[12 \div (3+1)\}-1 = 2 \times \{6+3\}-1}\)

Add

\(\mathbf{2 \times \{6+[12 \div (3+1)\}-1 = 2 \times \{9\}-1}\)

Remove curly bracket

\(\mathbf{2 \times \{6+[12 \div (3+1)\}-1 = 2 \times 9-1}\)

Multiply

\(\mathbf{2 \times \{6+[12 \div (3+1)\}-1 = 18-1}\)

Subtract

\(\mathbf{2 \times \{6+[12 \div (3+1)\}-1 = 17}\)

Hence, the value of the expression is 17

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