Question

Select the best answer for the question.

15. Solve the inequality. Write the solution set in interval notation.

Answer 1

A.

`$\left[-(13)/(2),\infty \right)$`

Explanation:

Inequality given:

`11\leq 6(n+4)-4n`

`11\leq 6n+24-4n`

`11\leq 2n+24`

`11-24\leq 2n+24-24`

`-13\leq 2n`

`$(-13)/(2) \leq n$`

Interval Notation:

`$\left[-(13)/(2),\infty \right)$`

We have:

`$\{n \in \mathbb{R}:n\geq (-13)/(2) \}$`