1

Problem

Simplify
{ 2 × (3 + 5) − [ 4 × ( 2 − 1 ) ] } \$ \div \$ 2

2

Step

Given expression

{ 2 × (3 + 5) − [ 4 × ( 2 − 1 ) ] } \$ \div \$ 2

3

Step

Evaluate expressions within parentheses first

3 + 5 = 8

2 - 1 = 1

\$ 4 \times 1 \$ = 4

4

Step

Perform multiplication within each set of parentheses

\$ 2 \times 8 \$ = 16

\$ 4 \times 1 \$ = 4

5

Step

Subtract the result of the multiplication within the brackets from the result of the multiplication outside the brackets

16 - 4 = 12

6

Step

Divide the result by 2

\$ 12 \div 2 \$ = 6

7

Solution

So, the solution to the expression is 6.

8

Sumup

Please Summarize Problem, Hint, Clue, Formula and Steps

Choices

9

Choice-A

This option suggests that the simplified expression equals 6. However, after correctly following the order of operations (PEMDAS), the result of the expression is 14, not 6. Therefore, this option is incorrect

Correct 6

10

Choice-B

This option implies that the simplified expression equals 8. However, when correctly evaluated, the result of the expression is 14. Thus, this option is incorrect

Wrong 8

11

Choice-C

This option suggests that the simplified expression equals 12. However, the correct result of the expression is 14, not 12. Therefore, this option is incorrect

Wrong 12

12

Choice-D

This option correctly indicates that the simplified expression equals 16

Wrong 16

13

Answer

Option

A

14

Sumup

Please Summarize Choices