Question

-2\left(5n+7\right)>6 Where is the shading?

Answer 1

Should the points be open or closed?

Answer 2

To solve the inequality -2(5n + 7) > 6, we can start by simplifying it:

-2(5n + 7) > 6
-10n - 14 > 6
-10n > 20

Now, we divide both sides by -10, remembering that when we divide/multiply an inequality by a negative number, we must flip the inequality sign:

n < -2

So, the solution to the inequality is any value less than -2.

When representing the solution on a number line, we would shade the region to the left of -2.

Answer 3

Apologies for the oversight. The solution for the inequality n < -2 is an open interval. This means that the points -2 are not included in the solution because the inequality is strict. Therefore, when representing the solution on a number line, we would use an open circle at -2 to indicate that it is not included in the solution set, and shade to the left of -2.