Question
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Tutor-Verified Answer
Answer
v ≤ −3
Solution
To solve the inequality v + 7 ≤ 4, follow these steps:
1. Subtract 7 from both sides of the inequality:
v + 7 − 7 ≤ 4 − 7
2. Simplify both sides:
v ≤ −3
So, the solution to the inequality is v ≤ −3.
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Bonus Knowledge
To solve the inequality \( v + 7 \leq 4 \), let's isolate \( v \). Subtract 7 from both sides: \( v \leq 4 - 7 \), which simplifies to \( v \leq -3 \). This means that \( v \) can take on any value that is less than or equal to -3, such as -4, -5, or even -100! Now, let's visualize it. If you picture a number line, you would shade everything to the left of -3, including -3 itself. So if someone asks, "What values can \( v \) be?" you can confidently say, "Anything less than or equal to -3!"