Question

Solve the compound inequality 9 + 3n >= 6 or 5n < 25.

a. n less than or greater to −1 or n < 5
b. n greater than or equal to −5 or n > 5
c. n greater than or equal to −1 or n < 5
d. n less than or greater to −5 or n > 5

Answer 1

`9+3n \geq 6 \ \lor \ 5n\ \textless \ 25 \\ 3n \geq 6-9 \ \lor \ n \ \textless \ (25)/(5) \\ 3n \geq -3 \ \lor \ n \ \textless \ 5 \\ n \geq (-3)/(3) \\ n \geq -1 \\ \\ \boxed{n \geq -1 \hbox{ or } n\ \textless \ 5} \\ \\ \hbox{answer C}`