Determine the solution to the system of inequalities.
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Question

Quizplus · Accepted Answer

We can rewrite the system of inequalities as:
5x + 2y ≥ 10
2x + 5y > 10
To find the solution, we need to graph the boundary lines and shade the appropriate region.
The boundary line for the first inequality (5x + 2y = 10) has a y-intercept of 5 and a slope of -5/2. The boundary line for the second inequality (2x + 5y = 10) has an x-intercept of 5 and a slope of -2/5.
Plotting these lines and shading the appropriate region gives us the following graph:

The shaded region represents where both inequalities are true. We can see that the only choice that correctly shows this region is B.

Determine the Solution to the System of Inequalities