GCEMathematicsVariation and Inequalities2022

(a) Given that -3 ≤ x ≤ 5 and -1 ≤ y ≤ 4, find the range of values of: (i) x + y (ii) x - y (iii) xy (b) Solve the following inequalities and represent each solution on a number line: (i) 3x - 7 < 2x + 5 (ii) 2(3x - 1) ≥ 4x + 6 (c) A student scored x marks in a test. The score must be at least 45 but not more than 90. Write an inequality to represent this information and find the range of values of (2x - 10).

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