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Which graph represents the solution set to the system of inequalities?

Which graph represents the solution set to the system of inequalities?-example-1
User Keshaun
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Answer:

Graph D (see attached).

Explanation:

Given system of inequalities:


\begin{cases}y\leq (1)/(4)x-2\\\\y\geq -(5)/(4)x+2\end{cases}

When graphing inequalities:

  • Use a dashed line for < or >.
  • Use a solid line for ≤ or ≥.
  • Shade below the line for < or ≤.
  • Shade above the line for > or ≥.

The graph of y ≤ (1/4)x - 2 is:

  • A solid line with shading below the line.
  • The slope of the line is positive (1/4).
  • The y-intercept is (0, -2).

The graph of y ≥ -(5/4)x + 2 is:

  • A solid line with shading above the line.
  • The slope of the line is negative (-5/4).
  • The y-intercept is (0, 2).

The graph that satisfies both these criteria is represented by option D.

Which graph represents the solution set to the system of inequalities?-example-1
User James Fleming
by
8.9k points

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