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The problem asks if \( v = -7 \) is a solution to the inequality:

\[
v - 8 \geq -4
\]

Let's substitute \( v = -7 \) into the inequality:

\[
-7 - 8 \geq -4
\]

Simplifying the left side:

\[
-15 \geq -4
\]

This is **false** since \( -15 \) is not greater than or equal to \( -4 \).

Thus, the correct answer is **no**, \( v = -7 \) is not a solution to the inequality.

Would you like any further details or clarification on this?

### Related Questions:
1. What is the process for solving inequalities like this one?
2. How can you graphically represent inequalities on a number line?
3. What are the key differences between solving equalities and inequalities?
4. How would the inequality change if the symbol was \( > \) instead of \( \geq \)?
5. How can inequalities be used to model real-world situations?

### Tip:
When solving inequalities, always check if the inequality symbol needs to be reversed when multiplying or dividing by a negative number.

Is v = -7 a solution to the inequality below? v - 8 ≥ -4

Find out if v = -7 is a valid solution for the inequality v - 8 ≥ -4. We go through the steps of substitution and inequality solving, helping students in Grade 8 understand this core concept in algebra.

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