Question

I NEED HELP

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

Answer 1

Answer: graph B

Open hole at -9; shading to the right

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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.