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Is (2,3) a solution to the system of inequalities

y< 4x - 5
-2x - 7y > 10
Explain why or why not

Is (2,3) a solution to the system of inequalities y< 4x - 5 -2x - 7y > 10 Explain-example-1
User Kingkupps
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Answer: To determine if the point (2, 3) is a solution to the system of inequalities, we need to substitute the values of x and y into each inequality and check if the inequalities hold true.

y < 4x - 5:

Substituting x = 2 and y = 3:

3 < 4(2) - 5

3 < 8 - 5

3 < 3

Since 3 is not less than 3, the inequality y < 4x - 5 is not true for the point (2, 3).

-2x - 7y > 10:

Substituting x = 2 and y = 3:

-2(2) - 7(3) > 10

-4 - 21 > 10

-25 > 10

Since -25 is not greater than 10, the inequality -2x - 7y > 10 is not true for the point (2, 3).

Therefore, neither of the inequalities holds true for the point (2, 3). Thus, (2, 3) is not a solution to the system of inequalities.

Explanation:

User Patidati
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