Question

Determine which integer makes the inequality 6(n-5) <3(n + 4) true.

A (11)
B (14)
C (30)
D (42)

Answer 1

`{ \qquad\qquad\huge\underline{{\sf Answer}}}`

Let's solve ~

`\qquad \sf  \dashrightarrow \: 6(n - 5) < 3(n + 4)`

`\qquad \sf  \dashrightarrow \: 6n - 30 < 3n + 12`

`\qquad \sf  \dashrightarrow \: 6n - 3n < 12 + 30`

`\qquad \sf  \dashrightarrow \: 3n < 42`

`\qquad \sf  \dashrightarrow \: n < 42 / 3`

`\qquad \sf  \dashrightarrow \: n < 14`

So, according to the given inequality. the only suitable value of n among the options is : " 11 "