Question

Which of the following graphs represents the solution set for 7(4x – 1 ) + 6x > –279? PLEASE HELP

Answer 1

First, solve the inequality:
$7(4x - 1 ) + 6x \ \textgreater \ -279\\ 28x-7+6x\ \textgreater \ -279\\ 34x\ \textgreater \ -272\\ x\ \textgreater \ -8$
Since x is greater than -8, you have the arrow point up the graph towards the positive side starting at -8.
Since it's greater than but not equal to -8, the circle is open.

Thus your graph is D.