The difference of twice a number x and half of a number y is at least 6, which is r...

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Problem

The difference of twice a number x and half of a number y is at least 6, which is represented by the inequality 2x - 0.5y >= 6. Graph the solution to the inequality.

Step-by-step solution

The inequality is $2x - 0.5y \ge 6$. Rearranging to solve for y gives $y \le 4x - 12$. This is a line with a y-intercept of -12 and a slope of 4. The inequality indicates shading above the line.

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Answer

D