Question

Write and graph an inequality for the given solution set {n∣n≥−2}

Answer 1

Answer:

Explanation:

Answer 2

An inequality is used to represent unequal expressions or numbers. An inequality with the solution set $n \ge -2$ is: $2n - 6 \ge -10$

Given that:

$n \ge -2$ --- the solution

To generate an inequality with the above solution, we do the following:

Subtract 3 from both sides of the inequality

$n - 3 \ge -2 - 3$

$n - 3 \ge -5$

Several operations can be carried out. The most important thing to note is that, whatever operation is done on the right-hand side of the inequality must be done on the left-hand side.

We can also multiply both sides by 2

$2 \times (n - 3 )\ge -5 \times 2$

$2n - 6 \ge -10$

Hence, an inequality with the solution set $n \ge -2$ is:

$2n - 6 \ge -10$

See attachment for graph

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