Question

For each of the following statements: • Rewrite the symbolic sentence in words, • Determine if...

For each of the following statements:

• Rewrite the symbolic sentence in words,
• Determine if the statement is true or false and justify your answer,• Negate the statement (you may write the negation symbolically).

√
(a) ∀x∈R, x2 =x.

(b) ∃y∈R,∀x∈R,xy=0.
(c) ∃x ∈ R, ∀y ∈ R, x2 + y2 > 9.

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