Express the negations of each of these statements so that all negation symbols immediately precede predicates. a. ∃z∀y∀xt (x, y, z) b. ∃x∃yp (x, y) ∧ ∀x∀yq(x, y) c. ∃x∃y(q(x, y) ↔ q(y, x)) d. ∀y∃x∃z(t (x, y, z) ∨ q(x, y))

12. decide whether each statement is always true, sometimes true, or never true. a. when corresponding points of an original figure and its reflection are connected, the resulting segments are all perpendicular to the line of reflection. b. when a point is reflected over a horizontal line, the y-coordinate of the point stays the same. answer both questions and explain

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What is the range for 31,39,29,34,37,24,36,33,34,28