TMUA 2017 Paper 2 Q13 — Worked Solution

P2·Number Theory & Divisibility, Logic & Quantifiers·6.5Official · 2017 · Q13

standard-formmust-be-truemulti-statement

The positive real numbers

a \times 1 0^{- 3}

b \times 1 0^{- 2}

and

c \times 1 0^{- 1}

are each in standard form, and

(a \times 1 0^{- 3}) + (b \times 1 0^{- 2}) = (c \times 1 0^{- 1})

a > 9

b > 9

III

a < c

b < c

Which of the above statements must be true?

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