Determine if the following conjecture is valid. Given: If x is an odd number, then x is an integer. If x is an integer, then x is a rational number. 19.132 is a rational number. Conclusion: 19.132 is an odd number.

Extensive and unusual cold snaps have occurred here recently. is this evidence that global warming is lessening or not occurring? no—although the long-term trend is for warming, short-term weather patterns can still be variable. no—melting of glaciers and ice caps is making the oceans cooler, which can cause cold snaps. yes-- if global warming really were occurring, cold snaps wouldn’t happen. yes—due to global warming, weather patterns should be become less—not more—variable.