Which number line correctly represents the solutions of the inequality -1 > 4w?

Question

Which number line correctly represents the solutions of the inequality -1 > 4w?

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Solution

To solve the inequality -1 > 4w, follow these steps:

Step 1: Divide both sides of the inequality by 4. This gives us -1/4 > w.

Step 2: This inequality can also be written as w < -1/4.

Step 3: Now, let's represent this on a number line.

The number line should have a open circle at -1/4 (because the inequality is "less than" not "less than or equal to") and an arrow pointing to the left (because w is less than -1/4).

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Which number line correctly represents the solutions of the inequality -1 > 4w?

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