The difference of twice a number x and half of a number y is at least 6. Graph the...
Check the final answer first, then review the worked steps.
Problem
The difference of twice a number x and half of a number y is at least 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 solid line with a slope of 4 and a y-intercept of -12, with the region below the line shaded.
Answer
C