Check if the following statement is TRUE or FALSE.Let p(x) and g(x) be two open predicates in a universe of discourse. Is it true that (x) (p(x) v g(x)) is equivalent to(Vxp(x)) v (Vxq(x))?O TrueO False

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College Algebra (MindTap Course List)

12th Edition

ISBN:9781305652231

Author:R. David Gustafson, Jeff Hughes

Publisher:R. David Gustafson, Jeff Hughes

Chapter4: Polynomial And Rational Functions

Section4.3: The Remainder And Factor Theorems; Synthetic Division

Problem 120E

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Check if the following statement is TRUE or FALSE. Let p(x) and g(x) be two open predicates in a universe of discourse. Is it true that (x) (p(x) v g(x)) is equivalent to (Vxp(x)) v (Vxq(x))? True