Please help Please Part 1: Solve the inequality 2(x + 6) greater than or equal to 3x - 2 and show all of your work. You can use = to represent the greater than or equal to symbol.
Part 2: Use complete sentences to describe the graph of the solution from Part 1. Be sure to include the type of circle and which direction the shading will be.

Question

Please help Please Part 1: Solve the inequality 2(x + 6) greater than or equal to 3x - 2 and show all of your work. You can use >= to represent the greater than or equal to symbol.
Part 2: Use complete sentences to describe the graph of the solution from Part 1. Be sure to include the type of circle and which direction the shading will be.

jigglypuff314 · Answer

solve for x...   2(x + 6) >= 3x - 2       so first distribute
                     2x + 2*6 >= 3x - 2
                     2x + 12 >= 3x - 2       subtract both sides by 12
                           -12             -12
                     2x       >=    3x - 14    subtract both sides by 3x
                   -3x               -3x
                        -x >=  -14               multiply both sides by -1
but remember that when multiplying/dividing by a negative the sign flips
                 so     x  <= 14

an inequality with an "or equal to" part has a closed circle
     while one without the "or equal to" part does not