Which is a solution of the inequality 2x + 3y > 6?*(2, 1)(-3, 0)(-3, -4)(-2, 3)
Question
Which is a solution of the inequality 2x + 3y > 6?
Options:
- (2, 1)
- (-3, 0)
- (-3, -4)
- (-2, 3)
Solution
To find out which pair is a solution to the inequality 2x + 3y > 6, we need to substitute each pair of (x, y) into the inequality and see if the inequality holds true.
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For (2, 1), substituting x = 2 and y = 1 into the inequality, we get 22 + 31 = 4 + 3 = 7, which is greater than 6. So, (2, 1) is a solution.
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For (-3, 0), substituting x = -3 and y = 0 into the inequality, we get 2*-3 + 3*0 = -6 + 0 = -6, which is not greater than 6. So, (-3, 0) is not a solution.
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For (-3, -4), substituting x = -3 and y = -4 into the inequality, we get 2*-3 + 3*-4 = -6 -12 = -18, which is not greater than 6. So, (-3, -4) is not a solution.
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For (-2, 3), substituting x = -2 and y = 3 into the inequality, we get 2*-2 + 3*3 = -4 + 9 = 5, which is not greater than 6. So, (-2, 3) is not a solution.
Therefore, the only solution to the inequality 2x + 3y > 6 from the given options is (2, 1).
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