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Determine the truth value of the following statements if the universe of discourse of each variable...

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Advance Math

Determine the truth value of the following statements if theuniverse of discourse of each variable is the set of realnumbers.

  1. ?x(x2=?1)?x(x2=?1)

  2. ?x?y?0(xy=1)?x?y?0(xy=1)

  3. ?x?y(x2=y)?x?y(x2=y)

  4. ?x?y(x+y?y+x)?x?y(x+y?y+x)

  5. ?x?y(xy=0)?x?y(xy=0)

  6. ?x?y(x=y2)?x?y(x=y2)

  7. ?x?y?z(z=x+y2)?x?y?z(z=x+y2)

  8. ?x?0?y(xy=1)?x?0?y(xy=1)

  9. ?x(x2=2)?x(x2=2)

  10. ?x?y(x+y=1)?x?y(x+y=1)

  11.?x?y((x+2y=2)?(2x+4y=5))?x?y((x+2y=2)?(2x+4y=5))

  12. ?x?y((x+y=2)?(2x?y=1))

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