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Select the values that make the inequality w, ≤, 4w≤4 true.

The inequality given is \( w \leq 4 \), meaning we need to select values for \( w \) that are less than or equal to 4.

Looking at the choices:
- \( w = -4 \): This is true since \(-4 \leq 4\).
- \( w = -1 \): This is true since \(-1 \leq 4\).
- \( w = 1 \): This is true since \(1 \leq 4\).
- \( w = 3 \): This is true since \(3 \leq 4\).
- \( w = 3.9 \): This is true since \(3.9 \leq 4\).
- \( w = 3.99 \): This is true since \(3.99 \leq 4\).
- \( w = 3.999 \): This is true since \(3.999 \leq 4\).
- \( w = 4 \): This is true since \(4 = 4\).

Now for the values that are false (not part of the solution):
- \( w = 4.001 \): False since \(4.001 > 4\).
- \( w = 4.1 \): False since \(4.1 > 4\).
- \( w = 5 \): False since \(5 > 4\).
- \( w = 7 \): False since \(7 > 4\).
- \( w = 9 \): False since \(9 > 4\).
- \( w = 12 \): False since \(12 > 4\).

Thus, the correct values to check are:
- \(-4\), \(-1\), \(1\), \(3\), \(3.9\), \(3.99\), \(3.999\), and \(4\).

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

Here are 5 related questions for further practice:
1. Solve the inequality \( w \geq -2 \) and select valid values from a given set.
2. What values satisfy \( w < 3 \)?
3. Solve \( w + 2 \leq 6 \) and find appropriate values.
4. Identify the solution set for \( w \geq 5 \).
5. Solve \( w - 1 \leq 0 \).

**Tip:** Remember to treat inequalities much like equations but be careful when multiplying or dividing by negative numbers—this reverses the inequality.

Select the values that make the inequality w ≤ 4 true.

Learn how to solve the inequality w ≤ 4 by selecting the correct values from a set of numbers. This problem involves basic algebraic inequalities and number line understanding, suitable for students in Grades 6-8.

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