Please solve these four questions ! it must be correct with specific explanation.

2. Suppose the domain of discourse is the group of technical support people at Horizon Technical Support (HTS), a company specializing in telephone support for its wireless customers. Define the following predicates: F(x): x is friendly. H(x): x is helpful W): x is knowledgeable Translate the following English statements into a logical expression with the same meaning. a. All friendly people at HTS are helpful and knowledgeable. b. Nobody at HTS is helpful. c. There is no friendly person at HTS who is helpful. 3. Suppose 33; Z is defined by f(x) = 3x3 -1. Note that both the domain and the target are equal to Z, the set of all integers. Explain using the definition of onto functions why the function f is or is not an onto function. 4. Consider the relation R on the set S = {1, 2, 3, 4} defined by R =111.1). (1.3). (1. 4). (2. 1). (2,2). (3.1). (3.3), (3. 4). (4.1), (4.3)}- 3. Explain why R is or is not symmetric. b. Explain why R is or is not reflexive. 5. Suppose A = {1, 2, 3, 4}. Let S and R be relations on A defined as follows: 5 = Lil, 1). (1. 3), (2, 3), (2.4}. (3. 4), (4,1)} R = Lil. 4), (2. 2). (3. 2). (4. 2) } Write the set of ordered pairs in S o R