Chapter 8.6, Problem 43HP

To determine

Alex is graphing the inequality $p<14$ . Find his mistake and correct.

Answer to Problem 43HP

Alex puts a closed dot at 14 instead of putting a open dot. did the mistake.

  $p<14$

  

Explanation of Solution

Given:

Alex is graphing the inequality $p<14$ . Find his mistake and correct.Concept Used:

A closed, or shaded, circle is used to represent the inequalities greater than or equal to ( $\ge$ ) or less than or equal to ( $\le$ ). The point is part of the solution.

He used the closed or shaded dot. It is wrong.

  $p\le 14$

  

An open circle is used for greater than (>) or less than (<). The point is not part of the solution. The graph then extends endlessly in one direction.

If he is trying to draw $p<14$ , then there must be a open dot at 14.The corrected graph is here.

  $p<14$

  

Thus, Alex puts a closed dot at 14 instead of putting a open dot. did the mistake.