Look at the inequality below.
 
−6x−4≤−4

 
Which of these values of x
 does not make the inequality true?
A.2.5

B.0

C.17

D.−4


We are given the inequality:

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

To solve for \( x \), let's follow these steps:

1. **Add 4 to both sides** of the inequality:
   \[
   -6x - 4 + 4 \leq -4 + 4
   \]
   This simplifies to:
   \[
   -6x \leq 0
   \]

2. **Divide both sides by -6** to isolate \( x \). Since we're dividing by a negative number, we must **reverse the inequality**:
   \[
   x \geq 0
   \]

Thus, the solution is \( x \geq 0 \).

Now, let's check each of the given values of \( x \) to see which one **does not** satisfy \( x \geq 0 \):

- A. \( 2.5 \): \( 2.5 \geq 0 \), so it **satisfies** the inequality.
- B. \( 0 \): \( 0 \geq 0 \), so it **satisfies** the inequality.
- C. \( 17 \): \( 17 \geq 0 \), so it **satisfies** the inequality.
- D. \( -4 \): \( -4 \geq 0 \) is **false**.

Thus, the value of \( x \) that **does not make the inequality true** is:

**D. −4**

Would you like further details or have any questions?

---

Here are 5 related questions to consider:

1. How do you reverse the inequality when dividing by a negative number?
2. What happens if you multiply both sides of an inequality by a negative number?
3. Can you provide an example of solving an inequality involving fractions?
4. How would you solve the inequality \( 3x + 5 > 2x - 7 \)?
5. What is the difference between solving equations and inequalities?

**Tip**: Always remember to reverse the inequality sign when multiplying or dividing both sides by a negative number.

Look at the inequality below.

−6x−4≤−4

Which of these values of x does not make the inequality true?
A. 2.5
B. 0
C. 17
D. −4

Explore how to solve the inequality −6x−4≤−4 and identify which value of x does not make the inequality true. Learn key algebra concepts such as solving linear inequalities and the rule for reversing inequalities when dividing by a negative number. Suitable for Grades 7-9 students.

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