Which is the definition of a symmetric relation? x~yy~x for all x, y E X. xx for all x € X. O O O O O x~yy~ x for some x, y = X. x~y and y~xx~x for all x, y = X. None of the above

15 Part 2 of 4 Required information NOTE: This is a multi-part question. Once an answer is submitted, you will be unable to return to this part. Consider the following relations: R₁ = {(a, b) = R² | a> b), the greater than relation R₂ = {(a, b) ER² | a2 b), the greater than or equal to relation R3 = {(a, b) ER² | a< b), the less than relation R₁ = {(a, b) ER² | a ≤ b), the less than or equal to relation R₁ = {(a, b) = R² | a = b), the equal to relation R6 = {(a, b) ER² | a b), the unequal to relation For these relations on the set of real numbers, find R₁⁰ R₁. Multiple Choice O O R₁ O R4

Two numbers are greater than 10 but less than 40. Their GCF is 17. What are the two numbers?

2. Let C = D = {-3, –2, –1, 1, 2, 3} and define a relation S from C to D as follows: For all (x, y) e C x D, 1 (x, y) E S means that 1 is an integer. y a. Is 2 S 2? Is –1S – 1? Is (2, 2) e S? Is (2, –-2) e S? b. Write S as a set of ordered pairs.