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Determine whether (1,1) and (-1,4) are solutions to 2x + 5y ≥ 7.

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Final answer:

Yes, both (1,1) and (-1,4) are solutions to the inequality 2x + 5y ≥ 7.

Step-by-step explanation:

To determine whether (1,1) and (-1,4) are solutions to 2x + 5y ≥ 7, we need to substitute the x and y values into the inequality and check if the resulting inequality is true.

For (1,1):

2(1) + 5(1) ≥ 7

2 + 5 ≥ 7

7 ≥ 7

The inequality is true for (1,1).

For (-1,4):

2(-1) + 5(4) ≥ 7

-2 + 20 ≥ 7

18 ≥ 7

The inequality is true for (-1,4).

Therefore, both (1,1) and (-1,4) are solutions to the inequality 2x + 5y ≥ 7.

User Alex Fedoseev
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