csat-suneung 2017 Q7

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

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

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

Paper Questions

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