Question
Which Two points can be found in the region defined by xy < -3 ? ◻ (2,-5) ◻ (-2,5) ◻ (-1,3) ◻ (1,3) ◻ (2,-5) ◻ (-2,5) ◻ (-1,3) ◻ (1,3)
Solution
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EleriProfessional · Tutor for 6 years
Answer
<p> (2,-5), (-2,5)</p>
Explain
<p> The question introduces an inequality xy < -3, which needs to be considered. This inequality signifies that the product of x and y coordinates of any points should be less than -3. Then the introduction provides 4 pairs of coordinates and this inequality is applied each pair. To find the points lying in the defined region by this inequality by just multiplying and checking that if they fulfill the given inequality or not.<br />- (2,-5): The product is -10, which is less than -3. Hence, (2,-5) is in the region defined by xy < -3.<br />- (-2,5): The product is -10 which is less than -3. Hence, (-2,5) too, is in the defined region.<br />- (-1,3): The product is -3, but it should be less than -3 according to the given inequality, therefore, (-1,3) does not meet the requirement.<br />- (1,3): The product is 3 which is not less than -3 during it ought to be according to the given inequality, therefore, (1,3) fails to meet the requirement.<br />Overall, the points that can be found in the region defined by the inequality xy < -3 are (2,-5) and (-2,5).</p>
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