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Here is a graph of 2x + y = -5. a. Click to graph the solutions to 2x + y ≤ -5. b. Explain how you know.

Here is a graph of 2x + y = -5.
a. Click to graph the solutions to 2x + y ≤ -5.
b. Explain how you know.

Answer

  1. a. To graph the solutions to 2x + y ≤ -5, shade the region below the line 2x + y = -5. This includes the line itself, as the inequality is 'less than or equal to'.

  2. b. The inequality 2x + y ≤ -5 means that for any point (x, y) in the solution set, the value of 2x + y is less than or equal to -5. This is represented graphically by the shaded area below the line, including the line itself.

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