Sis a set of arithmetic expressions recursively defined as follows. Base case: Every variable from the set {a, b, c, d, e, f } is in S. Recursive rules: If x E S and y e S, then: 1. x + y eS 2. x - y eS 3. (x)(y) e S Indicate which expressions are in S. a +b+ (c - d) ((a + b)(c)) (a + b)c a +b+c-d

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.5: The Binomial Theorem
Problem 11E
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S is a set of arithmetic expressions recursively defined as follows.
Base case: Every variable from the set {a, b, c, d, e, f } is in S.
Recursive rules: If x e S and y e S, then:
1. x + y eS
2. x - y e S
3. (x)(y) ES
Indicate which expressions are in S.
a +b+ (c - d)
((a + b)(c))
(a + b)c
a +b+c-d
Transcribed Image Text:S is a set of arithmetic expressions recursively defined as follows. Base case: Every variable from the set {a, b, c, d, e, f } is in S. Recursive rules: If x e S and y e S, then: 1. x + y eS 2. x - y e S 3. (x)(y) ES Indicate which expressions are in S. a +b+ (c - d) ((a + b)(c)) (a + b)c a +b+c-d
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