**Math**Advanced**Math**Q&A Library Determine**whether each**of the following statements**is true or false**.If a**statement is true**, construct a convincing argument for it.If it is**false**, give a counterexample.(a) The Laplace transform of t²u(t) does not converge anywhere on the s-plane. (b) The Laplace transform of et² u(t) does not converge.- e) 3⊂{3,4,5} is a
**false statement**because the 3 is not in braces, so it is not a set and thus cannot be a proper subset. The 3 is an element of the set as indicated in part (a). f) {}⊂{3,4,5} is a**true statement**because the empty set is a proper subset of every set. ⛲ Ex4. Examine**whether**the following statements are**true or false**:. .Determine**whether each statement is true or false**. - The
**statement**“P if and only if Q”**is true**whenever both P =)Q and Q =)P are**true**statements . The shorthand notation for “P if and only if Q” is P ()Q. PROBLEM 1.1. Decide**whether**the following statements are**true or false**. Justify your answers. - You started with a
**true****statement**, followed**math**rules on**each**of your steps, and ended up with another**true****statement**. ...**Tell****whether**the**statement****is****true****or****false**. \sin 69^\circ less than ...