Question

Solve the inequality. -6.2 < 2n + 8.6 < 21.4

Answer 1

Explanation:

To solve the compound inequality -6.2 < 2n + 8.6 < 21.4, you'll want to isolate the variable "n" in the middle of the inequality.

Subtract 8.6 from all three parts of the inequality:

-6.2 - 8.6 < 2n + 8.6 - 8.6 < 21.4 - 8.6

This simplifies to: please give brainIiest

-14.8 < 2n < 12.8

Now, divide all parts by 2 to solve for "n":

-14.8 / 2 < 2n / 2 < 12.8 / 2

This further simplifies to:

-7.4 < n < 6.4

So, the solution to the inequality -6.2 < 2n + 8.6 < 21.4 is -7.4 < n < 6.4. This means "n" is greater than -7.4 and less than 6.4.