Look at the inequality below.

−6x−4≤−4

Which of these values of x
does not make the inequality true?
A.−4

We are given the inequality:

\[
-6x - 4 \leq -4
\]

### Step 1: Isolate \( x \)
First, add 4 to both sides to eliminate the constant term on the left-hand side:

\[
-6x - 4 + 4 \leq -4 + 4
\]

This simplifies to:

\[
-6x \leq 0
\]

### Step 2: Solve for \( x \)
Now, divide both sides by \(-6\). When dividing by a negative number, remember to reverse the inequality sign:

\[
x \geq 0
\]

### Step 3: Analyze the options
We need to check which of the given values does **not** satisfy the inequality \( x \geq 0 \).

The option provided is \( x = -4 \).

Since \( -4 \) is less than 0, it does **not** satisfy the inequality \( x \geq 0 \).

### Conclusion:
The value of \( x \) that does not make the inequality true is:
\[
\boxed{-4}
\]

Would you like further details or have any questions about this solution?

Here are 5 related questions to explore:
1. How do you solve inequalities involving division by a negative number?
2. What happens to the inequality sign when multiplying or dividing by a negative number?
3. How would you represent this inequality on a number line?
4. What is the difference between strict inequalities and inclusive inequalities?
5. Can you verify the solution by substituting values into the original inequality?

**Tip:** Always remember to flip the inequality sign when multiplying or dividing by a negative number!

−6x−4≤−4
Which of these values of x does not make the inequality true?
A. −4

Explore the steps to solve the inequality −6x−4≤−4 and find which value does not satisfy it. This problem involves key algebraic concepts such as inequalities and the rule for multiplying or dividing by negative numbers. Suitable for students in Grades 6-8.

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