Let A and B be sets. Prove that A ≤ B in each of the following. (i) A = {x²: x € Z} and B = Z (ii) A = R and B = {2x: x = R} (iii) A = {(x, y) = R²: y = 5−³x } and B = {(x, y) € R²: 2y + 3x = 5} 2

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.3: Zeros Of Polynomials
Problem 24E
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4. Let A and B be sets. Prove that A ≤ B in each of the following.
(i) A = {x²: x € Z} and B = Z
A = R and B = {2x: x = R}
(ii)
(iii) A = {(x, y) = R²: y =
5-3x
2
} and B = {(x, y) E R²: 2y + 3x = 5}
Transcribed Image Text:4. Let A and B be sets. Prove that A ≤ B in each of the following. (i) A = {x²: x € Z} and B = Z A = R and B = {2x: x = R} (ii) (iii) A = {(x, y) = R²: y = 5-3x 2 } and B = {(x, y) E R²: 2y + 3x = 5}
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