Discussion
Given that X denotes 'greater than' φ denotes 'equal to', \(\lt\) denotes 'not less than', ⊥ denotes 'not equal to', Δ denotes 'less than' and + denotes 'not greater than', choose the correct statement from the following :
If a × b Δc it follows that
Answer: C
The correct statement is \(a \lt b + c\).
Decode the given statement. '×' (written X in the list) means 'greater than' and 'Δ' means 'less than', so \(a \times b\,\Delta c\) says \(a \gt b\) and \(b \lt c\).
In option C, '\(\lt\)' means 'not less than' and '+' means 'not greater than', so it reads \(a \ge b\) and \(b \le c\). Both follow from \(a \gt b\) and \(b \lt c\).
Option A says \(a = c\) and \(c \lt b\), which contradicts \(b \lt c\). Option B says \(b \ge a\), which contradicts \(a \gt b\). Option D says \(c \le b\), which again contradicts \(b \lt c\).
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