csat-suneung 2019 Q11

csat-suneung · South-Korea · csat__math-humanities 3 marks Inequalities Sufficient/Necessary Conditions Between Inequality Conditions

For two conditions $p$ and $q$ on real numbers $x$: $$\begin{aligned} & p : x ^ { 2 } - 4 x + 3 > 0 , \\ & q : x \leq a \end{aligned}$$ What is the minimum value of the real number $a$ such that $\sim p$ is a sufficient condition for $q$? [3 points]
(1) 5
(2) 4
(3) 3
(4) 2
(5) 1

For two conditions $p$ and $q$ on real numbers $x$:
$$\begin{aligned}
& p : x ^ { 2 } - 4 x + 3 > 0 , \\
& q : x \leq a
\end{aligned}$$
What is the minimum value of the real number $a$ such that $\sim p$ is a sufficient condition for $q$? [3 points]\\
(1) 5\\
(2) 4\\
(3) 3\\
(4) 2\\
(5) 1

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