A. If m is a negative integer, then m³ < 0. Suppose m is a positive number. Then m³ < 0. B. If a quadrilateral MNOP is a square, then it is also a rectangle. Quadrilateral MNOP is not a rectangle. Therefore, it is a square. C. If the polygon is a triangle, then the sum of its interior angles is 180°. The sum of the interiorangles of the polvgon is not 180°. Therefore, the polvgon is not triangle.

A. If m is a negative integer, then m³ < 0. Suppose m is a positive number. Then m³ < 0. B. If a quadrilateral MNOP is a square, then it is also a rectangle. Quadrilateral MNOP is not a rectangle. Therefore, it is a square. C. If the polygon is a triangle, then the sum of its interior angles is 180°. The sum of the interiorangles of the polvgon is not 180°. Therefore, the polvgon is not triangle.

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Polynomials

Try substituting 1. You will get 6 and not 0. Try other real values also. What About -2? Let us check.

Question

28. Which argument is valid?
A. If m is a negative integer, then m < 0. Suppose m is a positive number. Then m³ < 0.
B. If a quadrilateral MNOP is a square, then it is also a rectangle. Quadrilateral MNOP is not a
rectangle. Therefore, it is a square.
C. If the polygon is a triangle, then the sum of its interior angles is 180°. The sum of the
interiorangles of the polygon is not 180°. Therefore, the polygon is not triangle.
D. If at least one of the two numbers is divisible by 2, then the product of the two numbers is
divisible by 2.Neither of the two numbers is divisible by 2. Therefore, the product of these
twonumbers is not divisible by 2.

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