A. Direction: Determine if each statement is a proposition or not. 1. Every triangle is a polygon. 2. All right angles are congruent. 3. x is greater than or equal to -2. 4. If x + 2 = 4, is x = 2? 5. The sum of the interior angles in a triangle. 6. Some rectangles are not parallelograms. 7. Each equilateral triangle is an isosceles triangle.
A. Direction: Determine if each statement is a proposition or not. 1. Every triangle is a polygon. 2. All right angles are congruent. 3. x is greater than or equal to -2. 4. If x + 2 = 4, is x = 2? 5. The sum of the interior angles in a triangle. 6. Some rectangles are not parallelograms. 7. Each equilateral triangle is an isosceles 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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Transcribed Image Text:A. Direction: Determine if each statement is a proposition or not.
1. Every triangle is a polygon.
2. All right angles are congruent.
3. x is greater than or equal to -2.
4. If x + 2 = 4, is x = 2?
5. The sum of the interior angles in a triangle.
6. Some rectangles are not parallelograms.
7. Each equilateral triangle is an isosceles triangle.
8. For all values of a and b, (a + b)(a – b) = a² – b²
9. If a is a real number, a> 2.
10. Bisect an angle.
B. Direction: Translate each of the following Mathematical sentences into English
Transcribed Image Text:A. Direction: Write each statement in symbolic fom using connectives V A,or
1. If today is Friday (p). then tomorrow is
Saturday (q).
2. I went to the registrar's office (p) and l ate lunch
at the canteen (q).
3. A triangle is an equilateral triangle (p) if and
only if it is an equiangular triangle (q).
4. If it is bird (p), then it has feathers (q).
5. If either x is a fraction or y is a decimal (p), then
it is not a rational number (ng).
6. The moon is flat (p) if and only the sun rises at
the south (q) and the dog is flying (r).
7. If either a frog is an amphibian (p) or a jelly fish
is not a fish (ng), then I+2 =3 (r).
8. Online games are not bad to students (-p) il
and only if it will not destroy their studies (n4) and they sleep at least 8 hours
a day (r).
9. Cigarette smoking is dangerous to your health
(p) and it gives bad breath (g), or it can kill you (r).
10. If x + 5 = 7 (p) and 2x - 7 = 6 (q), then x + 8
= 2 (r) or 6x - 2 = 4 (s).
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