Question

Which of the following is the graph of the inequality -3 < n?

Answer 1

Option D

Explanation:

In inequality, the sign of the inequality changes when the values on both sides are interchanged. For example given -3<n. This inequality will be equivalent to n>-3 (note the change in the sign after interchanging)

n>-3 is interpreted as n is greater than -3.

Representing the inequality on the number line, the fourth option is the correct representation. The arrow head will point towards the positive x direction(since the inequality is greater than) but on the -3 point on the number line and the point value is not shaded.

The point value should be shaded only when the inequality contains equal to e.g ≥ or ≤

Answer 2

For this case we must indicate the graph corresponding to the following inequality:

`-3 <n`

We can rewrite as:

`n> -3`

The inequality does not contain the sign "=", therefore the solution border is open.

The solution is given by all strict major numbers to -3.

Thus, the corresponding graph is the D

Answer:

Option D