TMUA 2016 Paper 2 Q8 — Worked Solution

P2·Inequalities, Logic & Quantifiers·6.0Official · 2016 · Q8

region-in-planefor-all-statementscounterexamples

A region is defined by the inequalities

x + y > 6

and

x - y > - 4

. Consider the three statements:

x > 1

y > 5

III

(x + y) (x - y) > - 24

Which of the above statements is/are true for every point in the region?

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