taiwan-gsat 2022 Q7

taiwan-gsat · Other · gsat__math-a 5 marks Inequalities Absolute Value Inequality

Let integer $n$ satisfy $| 5 n - 21 | \geq 7 | n |$ . Select the correct options.
(1) $| 5 n - 7 n | \geq 21$
(2) $- 1 \leq \frac { 7 n } { 5 n - 21 } \leq 1$
(3) $7 n \leq 5 n - 21$
(4) $( 5 n - 21 ) ^ { 2 } \geq 49 n ^ { 2 }$
(5) There are infinitely many integers $n$ satisfying the given inequality

Let integer $n$ satisfy $| 5 n - 21 | \geq 7 | n |$ . Select the correct options.\\
(1) $| 5 n - 7 n | \geq 21$\\
(2) $- 1 \leq \frac { 7 n } { 5 n - 21 } \leq 1$\\
(3) $7 n \leq 5 n - 21$\\
(4) $( 5 n - 21 ) ^ { 2 } \geq 49 n ^ { 2 }$\\
(5) There are infinitely many integers $n$ satisfying the given inequality

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