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


To solve the inequality \(-6x - 4 \leq -4\), follow these steps:

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

2. **Divide both sides by -6** to solve for \(x\), and remember to **reverse the inequality** sign when dividing by a negative number:
   \[
   x \geq 0
   \]

The solution to the inequality is \(x \geq 0\), which means any value of \(x\) that is **greater than or equal to 0** will satisfy the inequality.

Now, let's check each of the answer choices:

- A. \(x = 2.5\): Since \(2.5 \geq 0\), this value satisfies the inequality.
- B. \(x = 0\): Since \(0 \geq 0\), this value satisfies the inequality.
- C. \(x = 17\): Since \(17 \geq 0\), this value satisfies the inequality.
- D. \(x = -4\): Since \(-4 \geq 0\) is **false**, this value **does not** satisfy the inequality.

Thus, the answer is **D. \(-4\)**.

Would you like more details or have any questions?

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Here are 5 related questions to expand the topic:

1. What happens when dividing inequalities by a negative number?
2. How would you solve the inequality \(3x + 2 \leq 10\)?
3. Can you graph the inequality \(x \geq 0\) on a number line?
4. What is the difference between solving an equation and an inequality?
5. How do you handle compound inequalities involving "and" or "or"?

**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

Learn how to solve the inequality -6x - 4 ≤ -4 step by step and determine which value of x does not satisfy the condition. Understand key algebraic concepts such as solving inequalities and the special rule when dividing by negative numbers. Suitable for students in Grades 6-8.

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