Question
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Answer
v ≤ 35
Solution
To solve the inequality (v/5) ≤ 7, follow these steps:
1. Multiply both sides by 5 (since 5 is positive, the direction of the inequality does not change):
v ≤ 7 × 5
2. Simplify the right-hand side:
v ≤ 35
Thus, the solution is v ≤ 35.
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Simplify this solution The Deep Dive
To solve the inequality \( \frac{v}{5} \leq 7 \), first, we can eliminate the fraction by multiplying both sides by 5. This gives us \( v \leq 35 \). Thus, any value of \( v \) that is 35 or less will satisfy the inequality. When tackling inequalities, it's crucial to remember that the direction of the inequality sign remains the same as long as we multiply or divide by a positive number. If you multiply or divide by a negative number, however, you must flip the inequality sign! So, always keep an eye on the signs and you’ll avoid common pitfalls!
