Solve for n.
−37 − 3n < 41
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To solve the inequality ( -37 – 3n < 41 ), follow these steps:
1. Isolate the term with n: Start by adding 37 to both sides of the inequality.
[
-3n < 41 + 37
]
[
-3n < 78
]
2. Divide by -3: When dividing or multiplying by a negative number, remember to reverse the inequality sign.
[
n > frac{78}{-3}
]
[
n > -26
]
Final Answer: ( n > -26 )
This means that n can be any number greater than -26. Keep practicing inequalities, and if you have more questions, feel free to ask! For in-depth help, check the extended services page.