Which equation is not TRUE? a. 54 ÷ (-9) = -6 b. 8 – (-11) = 19 c. (-6) × (-4) = -24 d. -7 + (-7) = -14

1. Break Down the Problem

We need to evaluate each equation to determine which one is not true. The equations are: a. $54 \div (-9) = -6$
b. $8 - (-11) = 19$
c. $(-6) \times (-4) = -24$
d. $-7 + (-7) = -14$

2. Relevant Concepts

We will use basic arithmetic operations: division, subtraction, multiplication, and addition, along with the properties of negative numbers.

3. Analysis and Detail

1. For equation a:
   $54 \div (-9) = -6 \\ 54 \div (-9) = -6 \quad \text{(This is TRUE)}$

2. For equation b:
   $8 - (-11) = 8 + 11 = 19 \quad \text{(This is TRUE)}$

3. For equation c:
   $(-6) \times (-4) = 24 \quad \text{(This is NOT TRUE because a negative times a negative is positive)}$

4. For equation d:
   $-7 + (-7) = -14 \quad \text{(This is TRUE)}$

4. Verify and Summarize

After evaluating each equation, we find that:

• Equations a, b, and d are true.
• Equation c is the only one that is false.

Final Answer

The equation that is not TRUE is:
c. $(-6) \times (-4) = -24$ (Correct answer: $(-6) \times (-4) = 24$)