p: It is sunny. q: Ryan is at the park. Consider this argument. Premise 1: If it is sunny, then Ryan is at the park. Premise 2: Ryan is at the park. Conclusion: Therefore, it is sunny. (a) Write the argument in symbolic form. Premise 1: r Premise 2: OvO Conclusion: (b) Is the argument valid? Yes No

Let p: you see lightning and q: you hear thunder. Write each of the following statements in symbolic notation: a. If you see lightning, then you hear thunder. b. If you hear thunder, then you see lightning.. c. If you don't see lightning, then you don't hear thunder. d. If you don't hear thunder, then you don't see lightning.. If you see lightning, then you hear thunder. If you hear thunder, then you see lightning If you don't see lightning, then you don't hear thunder If you don't hear thunder, then you don't see lightning 114 114 #p-q =q-p

buy A. Determine whether the following statements are always true, sometimes true. or never true. the Easy Milk Tea w its should 1. Itx-25-0, then x-5. 2 Ifx-27-0, then x-3 3. If 5x -45-0, then x-9. Ifx 10x--25, then x--5. 5. Ifx-3x+ 3x-1-64, then x-5. The Zero Product Property states that: If a and b are expressions, and ab-0, then a-0. 7. If the product of two numbers is zero, then at least one of 8. According to the Zero Product Property, If a and b are expressions, and ab-0, then b-0. the numbers is zero. ey Ma 10. In solving an equation by factoring, one side of the equation must be zero. 9. If (x+1) (xr+ 2)-12, then x+1-12 or a+2-12.

For the following statements, use the law of detachment to write a valid concluding statement.   If an integer ends in 2, then it is an even number.  The number 32 ends in 2.

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