Question

In a certain code language, ‘^’ means ‘is less than’, ‘#’ means ‘is greater than’ and ‘*’ means ‘is equal to’. Given that $a \mathbin{\hat{}} b$, $c * d$, and $c \# b$, then which of the following is true?

Accepted Answer

D. Given: $a \mathbin{\hat{}} b \implies a < b$ $c * d \implies c = d$ $c \# b \implies c > b$ Combining these: $a < b < c = d$. Since $a < b$ and $b < c$, we have $a \mathbin{\hat{}} b \mathbin{\hat{}} c$, which is represented as $a \mathbin{\hat{}} b \mathbin{\hat{}} c$.

Coded Inequalities

Explanation

Practise this under exam conditions