321,794 views
39 votes
39 votes
I NEED HELP

Which graph shows the solution to the inequality? -3x -7 < 20

I NEED HELP Which graph shows the solution to the inequality? -3x -7 < 20-example-1
User Corentin Pane
by
2.9k points

1 Answer

19 votes
19 votes

Answer: graph B

Open hole at -9; shading to the right

=======================================================

Step-by-step explanation:

First we need to isolate x.


-3x -7 < 20\\\\-3x < 20+7\\\\-3x < 27\\\\x > 27/(-3)\\\\x > -9

The inequality sign flips because we divided both sides by a negative number.

The graph of x > -9 will have an open hole at -9 and shading to the right.

This matches graph B

An open hole is used to tell the reader that the endpoint -9 is not part of the solution set. If we wanted to include it, then we'd have to involve "or equal to" as part of the inequality sign.

User Malaverdiere
by
3.0k points