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Solve each inequality: 14-6n<2(7-3n)

User Sjonchhe
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1 Answer

5 votes

Final answer:

To solve the inequality, distribute on the right side, simplify, subtract, and divide.

Step-by-step explanation:

An inequality is a mathematical expression that establishes a relationship between two expressions or quantities, indicating that one is greater than, less than, or equal to the other. Inequalities are commonly used to represent a range of possible values rather than a single, precise value.

First, distribute the 2 on the right side of the inequality:

14-6n < 14-6n+6n

Simplify the equation:

14-6n < 14

Next, subtract 14 from both sides:

-6n < 0

To solve for n, divide both sides by -6:

n > 0

Therefore, the solution to the inequality is n > 0.

User Selmar
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