Which solution satisfies the inequality x – 3y ≤ 0?*(3, 0)(-1, 0)(1, -2)(-4, -3)
Question
Which solution satisfies the inequality
x – 3y ≤ 0?
- (3, 0)
- (-1, 0)
- (1, -2)
- (-4, -3)
Solution
To find out which solution satisfies the inequality x - 3y ≤ 0, we need to substitute each pair of (x, y) values into the inequality and see if the inequality holds true.
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For (3, 0), the inequality becomes 3 - 3*0 ≤ 0, which simplifies to 3 ≤ 0. This is not true, so (3, 0) is not a solution.
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For (-1, 0), the inequality becomes -1 - 3*0 ≤ 0, which simplifies to -1 ≤ 0. This is true, so (-1, 0) is a solution.
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For (1, -2), the inequality becomes 1 - 3*(-2) ≤ 0, which simplifies to 1 + 6 ≤ 0, or 7 ≤ 0. This is not true, so (1, -2) is not a solution.
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For (-4, -3), the inequality becomes -4 - 3*(-3) ≤ 0, which simplifies to -4 + 9 ≤ 0, or 5 ≤ 0. This is not true, so (-4, -3) is not a solution.
Therefore, the only solution that satisfies the inequality x - 3y ≤ 0 is (-1, 0).
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