If `gt` stands for `+`
`lt` stands for `-`
`wedge` stands for `xx`
`vee` stands for `÷`
Then what is the value of `52 lt 4 wedge 5 gt 8 vee 2`

Options

A. 38
B. 36
C. 124
D. 312

Answer

To solve the expression `52 lt 4 wedge 5 gt 8 vee 2`, we need to first replace the symbols with their corresponding mathematical operations as defined in the question:

- `lt` stands for `-`
- `wedge` stands for `×`
- `gt` stands for `+`
- `vee` stands for `÷`

Now, we can rewrite the expression:

1. Replace the symbols:
- `52 lt 4` becomes `52 - 4`
- `wedge 5` becomes `× 5`
- `gt 8` becomes `+ 8`
- `vee 2` becomes `÷ 2`

So the expression becomes:
\[ 52 - 4 \times 5 + 8 \div 2 \]

Next, we will follow the BODMAS/BIDMAS rule (Brackets, Orders, Division and Multiplication, Addition and Subtraction) to solve the expression step by step.

### Step 1: Solve the division
Calculate \( 8 \div 2 \):
\[ 8 \div 2 = 4 \]

Now, replace this back into the expression:
\[ 52 - 4 \times 5 + 4 \]

### Step 2: Solve the multiplication
Now calculate \( 4 \times 5 \):
\[ 4 \times 5 = 20 \]

Now, replace this back into the expression:
\[ 52 - 20 + 4 \]

### Step 3: Solve the subtraction
Now calculate \( 52 - 20 \):
\[ 52 - 20 = 32 \]

Now, replace this back into the expression:
\[ 32 + 4 \]

### Step 4: Solve the addition
Finally, calculate \( 32 + 4 \):
\[ 32 + 4 = 36 \]

Thus, the value of the expression \( 52 lt 4 wedge 5 gt 8 vee 2 \) is:
\[ \boxed{36} \]