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2023 EOY Sec 2 ACSI P1 Q11

2023 EOY Sec 2 ACSI P1 Q11

IP 2
6 marks

  1. Find the integer values of \(x\) which satisfy all the \(3\) conditions below.

    \(6 - 2x \leq 0\); \(x \neq 4\); \(x < 6\)

    [2]

  2. The length of a rectangle is three times its breadth, \(x\) cm.

    Given that the perimeter is not less than \(100\) cm,

    1. form an inequality in \(x\),

      [1]

    2. hence, solve the inequality to find the least possible area of the rectangle where \(x\) is also an even number.

      [3]

Solution:

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Answer:(a) 3, 5. (b)(i) \(8x\ge100\). (ii) \(588\text{ cm}^2\), at \(x=14\).

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