book Maths Puzzle Numerical Ability

Write an inequality that has no solution.

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book Other Question

The sides of a triangle are 3, 4, and 5 units long. What is the perimeter?

Is the answer 12 units?
Let T be a linear operator on a finite-dimensional vector space V, and let
b (beta) be an ordered basis for V. Prove that l (lamda) is an eigenvalue of T if and only if l (lamda) is an eigenvalue of [T]b (beta).