Indicate if the following statement is true or false:A * 3 >= B – 14 \ 3 AND F OR C <= D + 3 where A = 7, B = 9, C = 14, D = -4 and F = FALSETrueFalse

To determine whether the statement is true or false, we will evaluate it step by step using the provided values for $A$, $B$, $C$, $D$, and $F$.

1. Break Down the Problem

The original expression is: $A \cdot 3 \geq B - \frac{14}{3} \text{ AND } F \text{ OR } C \leq D + 3$

We need to evaluate the following parts:

1. Calculate $A \cdot 3$
2. Calculate $B - \frac{14}{3}$
3. Check the condition $A \cdot 3 \geq B - \frac{14}{3}$
4. Evaluate $F$
5. Calculate $D + 3$
6. Check the condition $C \leq D + 3$
7. Combine results using logical operations.

2. Relevant Concepts

• Basic arithmetic operations
• Logical operations (AND, OR)

3. Analysis and Detail

1. Calculate $A \cdot 3$ $A \cdot 3 = 7 \cdot 3 = 21$

2. Calculate $B - \frac{14}{3}$ $\frac{14}{3} = 4.67 \implies B - \frac{14}{3} = 9 - 4.67 \approx 4.33$

3. Evaluate the condition $A \cdot 3 \geq B - \frac{14}{3}$ $21 \geq 4.33 \quad \text{(This is TRUE)}$

4. Evaluate $F$ $F = \text{FALSE}$

5. Calculate $D + 3$ $D + 3 = -4 + 3 = -1$

6. Check the condition $C \leq D + 3$ $C = 14 \implies 14 \leq -1 \quad \text{(This is FALSE)}$

7. Combine results using logical operations $\text{Condition: (TRUE AND FALSE) OR FALSE} \implies \text{TRUE AND FALSE} = \text{FALSE} \quad \text{then } \text{FALSE OR FALSE} = \text{FALSE}$

4. Verify and Summarize

The values evaluated indicate that the final result of the logical expression is FALSE.

Final Answer

FALSE