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In every item, indicate what statements P, Q, or R might stand for then expr the item using the correct symbols ( ^, v,=, →,¬). 1. If x is an even number then it is a multiple of 2. 2. 2 and -3 are rational zeroes of f. 3. Triangle ABC is a right triangle if and only if c² = a² + b². 4. x is not equal to 10. 5. If x = y then y = x. 6. If x = y and y = z then x = z. 7. An integer is divisible by 6 only if it is divisible by 3. 8. Three non-collinear points determine a plane.

In every item, indicate what statements P, Q, or R might stand for then expr the item using the correct symbols ( ^, v,=, →,¬). 1. If x is an even number then it is a multiple of 2. 2. 2 and -3 are rational zeroes of f. 3. Triangle ABC is a right triangle if and only if c² = a² + b². 4. x is not equal to 10. 5. If x = y then y = x. 6. If x = y and y = z then x = z. 7. An integer is divisible by 6 only if it is divisible by 3. 8. Three non-collinear points determine a plane.

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.4: Complex And Rational Zeros Of Polynomials
Problem 17E
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In every item, indicate what statements P, Q, or R might stand for then expr the item using the correct symbols ( ^, v,=, →, ¬ ). 1. If x is an even number then it is a multiple of 2. 2. 2 and -3 are rational zeroes of f. 3. Triangle ABC is a right triangle if and only if c² = a² + b². 4. x is not equal to 10. 5. If x = y then y = x. 6. If x = y and y = z then x = z. 7. An integer is divisible by 6 only if it is divisible by 3. 8. Three non-collinear points determine a plane.
Transcribed Image Text:In every item, indicate what statements P, Q, or R might stand for then expr the item using the correct symbols ( ^, v,=, →, ¬ ). 1. If x is an even number then it is a multiple of 2. 2. 2 and -3 are rational zeroes of f. 3. Triangle ABC is a right triangle if and only if c² = a² + b². 4. x is not equal to 10. 5. If x = y then y = x. 6. If x = y and y = z then x = z. 7. An integer is divisible by 6 only if it is divisible by 3. 8. Three non-collinear points determine a plane.
Step-by-step explanation 1. (a) r is not equal to -10 can be written as -(r = -10) (b) 2 and 3 are rational zeros of f_is the given statement. This can be expressed as: p:2 is a rational zero of f q: 3 is a rational zero of f p^q (c) y <x can be written as: p:y is less than x q : y is equal to x p V q (d) If x = y then y = x is the given statement. It can be expressed as: p:x = y q: y = x p → q (e) Triangle ABC is a right-angled triangle if and only if c2 = a2 + b2
Transcribed Image Text:Step-by-step explanation 1. (a) r is not equal to -10 can be written as -(r = -10) (b) 2 and 3 are rational zeros of f_is the given statement. This can be expressed as: p:2 is a rational zero of f q: 3 is a rational zero of f p^q (c) y <x can be written as: p:y is less than x q : y is equal to x p V q (d) If x = y then y = x is the given statement. It can be expressed as: p:x = y q: y = x p → q (e) Triangle ABC is a right-angled triangle if and only if c2 = a2 + b2
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