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题目： What is the value of the integer k?(1)$$k + 3 > 0$$(2)$${k}^{4}\le{0}$$

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题目： If $$xyz > 0$$, is $${x}{y}^{2}{z}^{3} < 0$$ ?(1)$$y < 0$$(2)$$x > 0$$

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题目： If a, b, c, and d are positive integers, is $$(\frac {a} {b})(\frac {c} {d}) >\frac {c} {b}$$?(1)$$c > b$$(2)$$a > d$$

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题目： In the triangle above, is $$x >90$$?(1) $${a}^{2}+{b}^{2}<{15}$$(2)$$c > 4$$

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题目： If $${l}_{1} \| {l}_{2}$$ in the figure above, is x = y? (1) $$p\|r$$ and $$r\|t$$ (2) $$q\|s$$

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题目： If $$x > 0$$, then $$\frac1 {\sqrt{2x}+\sqrt{x}}$$ =

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题目： If a and b are positive, is $$(a^{-1}+b^{-1})^{-1}$$ less than $$(a^{-1}*b^{-1})^{-1}$$?(1)$$a = 2b$$(2)$$a + b > 1$$

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题目： If $$\frac{7x} 3+a=8$$ and $$a > 8$$, then, in terms of a, $$\frac{3x} 7=$$

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题目： The table gives three factors to be considered when choosing an Internet service provider and the percent of the 1,200 respondents to a survey who cited that factor as important. If 30 percent of the respondents cited both "user-friendly" and "fast response time," what is the maximum possible number of respondents who cited "bargain prices," but neither "user-friendly" nor "fast response time?"

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题目： If $${x}\neq{0}$$, is $$\frac {x^2} {\mid x\mid}<{1}$$?(1)$$x < 1$$(2)$$x > -1$$

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题目： If u, v, and w are integers, is u > 0 ?(1) $${u}={v}^{2}+{1}$$(2) $${u}={w}^{4}+{1}$$

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题目： The operation $$\Delta$$ is defined for all nonzero x and y by $${x}\Delta{y}={x}+\frac x y$$. If $$a > 0$$, then $$1\Delta (1\Delta a) =$$

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题目： Is $$x > k$$?(1)$${2}^{x}*{2}^{k}={4}$$(2)$${9}^{x}*{3}^{k}={81}$$

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题目： A certain computer program generates a sequence of numbers $${a}_{1}$$, $${a}_{2}$$, ... , $${a}_{n}$$ such that $${a}_{1}={a}_{2}={1}$$ and $${a}_{k}={a}_{k-1}+{2a}_{k-2}$$ for all integers k such that $$3 \le k\le n$$. If $$n > 6$$, then $${a}_{7}=$$ ?

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题目： The "dilemma" mentioned in highlight text can best be characterized as being caused by the necessity to make a choice when faced with a