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

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter2: Equations And Inequalities

Section2.6: Inequalities

Problem 80E

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Concept explainers

Polynomials

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

Question

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IMAGE 2 'DD.PNG" IS SAMPLE ONLY

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

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.

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