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If $-8 \leq x \leq 10$ and $x+y=-4$, what is the least possible value
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28 Feb 2025, 00:38
28 Feb 2025, 00:38
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If $\(-8 \leq x \leq 10\)$ and $\(x+y=-4\)$, what is the least possible value of $\(x y\)$ ?
(A) 0
(B) -32
(C) -112
(D) -140
(E) -180
(A) 0
(B) -32
(C) -112
(D) -140
(E) -180
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Re: If $-8 \leq x \leq 10$ and $x+y=-4$, what is the least possible value
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02 Mar 2025, 13:01
02 Mar 2025, 13:01
1
Assuming that the "$" signs are a typo -
The least possible value of x that satisfies the inequality is -8
Since x+y = -4, when x = -8, y = 4
When x = - 8 and y = 4, xy = (-8)(4) = -32
The greatest possible value of x that satisfies the inequality is 10
Since x+y = -4, when x = 10, y = -14
When x = 1- and y = -14, xy = (10)(-14) = -140
Thus, the least possible value of xy = -140.
The least possible value of x that satisfies the inequality is -8
Since x+y = -4, when x = -8, y = 4
When x = - 8 and y = 4, xy = (-8)(4) = -32
The greatest possible value of x that satisfies the inequality is 10
Since x+y = -4, when x = 10, y = -14
When x = 1- and y = -14, xy = (10)(-14) = -140
Thus, the least possible value of xy = -140.
gmatclubot
Re: If $-8 \leq x \leq 10$ and $x+y=-4$, what is the least possible value [#permalink]
02 Mar 2025, 13:01
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