8. Suppose each of the following statements is true. Laura is in the seventh gra

Question

8.

Suppose each of the following statements is true.

Laura is in the seventh grade.

Laura got an A on the mathematics test or Sarah got an A on the mathematics test.

If Sarah got an A on the mathematics test, then Laura is not in the seventh grade.

If possible, determine the truth value of each of the following statements.

Carefully explain your reasoning.

(a) Laura got an A on the mathematics test.

(b) Sarah got an A on the mathematics test.

(c) Either Laura or Sarah did not get an A on the mathematics test.

8. Suppose each of the following statements is true. Laura is in the seventh grade. » Laura is in the seventh grade ·Laura got an A on the mathematics test or Sarah got an A on the math- ematics test. » If Sarah got an A on the mathematics test, then Laura is not in the seventh grade. If possible, determine the truth value of each of the following statements. Carefully explain your reasoning. (a) Laura got an A on the mathematics test. (b) Sarah got an A on the mathematics test (c) Either Laura or Sarah did not get an A on the mathematics test.

Explanation / Answer

8)

Since each of the following statement is true

If Sarah gets an A in the course, then Laura is not in the seventh grade

If sarah gets and A grade, then the first statement will be false, hence the laura will get an A grade in the mathematics test

a) Hence the statement a is TRUE, Laura got an A in the mathematics test

b) The statement is FALSE, since Sarah got an A imply that the Lauren is in 7th class , which will imply that the first statement is wrong

c) Either Laura or Sarah did not get an A on the mathematics test

Since Sarah didn't get A in the test, hence the statement is FALSE

Therefore the statement is FALSE

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