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Solving and Interpreting a System of Inequalities with Number Line Representation

Solving and Interpreting a System of Inequalities with Number Line Representation

Secondary 3
  1. Find the range of values of \(x\) for which
    1. \(x-1>1-x\).
    2. \(6\le 10-x\le 10\)
  2. Represent the solution to both inequalities in (a)(i) and (a)(ii) on a number line.
  3. Hence, state the least integer that satisfies both inequalities in (a)(i) and (a)(ii).

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Answer:(a)(i) \(x>1\). (a)(ii) \(0\le x\le4\). (b) The overlap is \(1<x\le4\). (c) \(2\).

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