1.

If 12 x -4ygt 8 and 2/3 x + 6y ge 14 form a system of inequalities, which of the following graphs shows the solution set for the system ?

Answer»




Solution :Rewrite the inequalities in slope-intercept form. Once complete, determine whether each line shoulb be solid or dashed and which half of the plne (above or below the line) should be shaded for each . The CORRECT graph should have a sashed line with a positive slope `(y lt 3x -2)` and a solid line with a negative slope `(y ge -(1)/(9)x + (7)/(3)),` eliminate (C ) because the dashed and solid LINES are incorrect. According to the INEQUALITY symbols, the half-plane above the solid line and the half-plane below the dashed line should be shaded, the only MATCH is (B).


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