Let's solve the inequality step by step to find which values of $x$ do not satisfy it.

Given inequality:

$-6x - 4 \leq -4$

Step 1: Add 4 to both sides

$-6x \leq -4 + 4$ $-6x \leq 0$

Step 2: Divide both sides by -6

When dividing by a negative number, remember to flip the inequality sign: $x \geq 0$

Final Solution:

The inequality $x \geq 0$ tells us that any value of $x$ that is less than 0 does not satisfy the inequality. Therefore, any negative value of $x$ will not make the inequality true.

Example:

If $x = -1$: $-6(-1) - 4 = 6 - 4 = 2$ Since $2 \leq -4$ is false, $x = -1$ does not satisfy the inequality.

Thus, $x = -1$ (and all values less than 0) do not make the inequality true.

---

Would you like more details, or do you have any questions?

5 related questions:

1. How does dividing by a negative number affect inequality signs?
2. What is the general process for solving linear inequalities?
3. Can inequalities have more than one solution?
4. What happens if you multiply both sides of an inequality by zero?
5. How would the inequality change if there were a positive coefficient for $x$?

Tip:

When solving inequalities, always remember to flip the inequality sign if you multiply or divide by a negative number!