How to graph 7(4x-1) +6x>-279

  see attachment

Step-by-step explanation:

It usually works well to simplify the inequality as much as possible.

  7(4x -1) +6x > -279 . . . . . given

  28x -7 +6x > -279 . . . . . eliminate parentheses

  34x > -272 . . . . . . . . . . . add 7, collect terms

  x > -8 . . . . . . . . . . . . . . . divide by 34

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This graphs as an open circle at x = -8, and shading of the number line extending to the right from there. The circle at -8 is open because -8 is not included in the solution set. However, all values greater than -8 (to the right of -8 on the number line) are included in the solution.