Step-by-step explanation:
To represent the inequality \( 1 \times 2 < \frac{1}{2} \) on a number line, let's first simplify and understand the inequality.
1. Simplify the expression on the left side of the inequality:
\[ 1 \times 2 = 2 \]
So the inequality becomes:
\[ 2 < \frac{1}{2} \]
2. This inequality is false because 2 is not less than \(\frac{1}{2}\).
Since \(2 < \frac{1}{2}\) is not true, there is no need to represent this on a number line as it does not hold for any values. In mathematical terms, there is no solution to this inequality.
