Solve the inequality and show your work:

\[ 6n - 3 > -18 \]

6n-3>-18 add 3 to both sides to get: 6n>-15 divide -15 by 6: n>-2.5

Answered by gabbycarter8 | 2024-06-10

-18\ \ \ \ | add\ 3\\\\ 6n>-15\ \ \ \ | divide\ by\ 6\\\\ n>-\frac{15}{6}\\\\ n>-2\frac{1}{2}\\\\ Solution\ is \ n\in(-2\frac{1}{2},+\infty)"> 6 n − 3 > − 18 ∣ a dd 3 6 n > − 15 ∣ d i v i d e b y 6 n > − 6 15 ​ n > − 2 2 1 ​ S o l u t i o n i s n ∈ ( − 2 2 1 ​ , + ∞ )

Answered by luana | 2024-06-10

The solution to the inequality -18"> 6 n − 3 > − 18 is -2.5"> n > − 2.5 , which can be expressed in interval notation as ( − 2.5 , ∞ ) . This means that any number greater than − 2.5 will satisfy the inequality. Checking with a value like − 2 confirms the solution is correct.
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Answered by gabbycarter8 | 2024-10-09