Help me with these predicate logic questions please.

Please answer with handwritten notes on paper.

Exercise Consider the following propositions: are they true or false? Can you justify why? . 2 is an even number and it is prime. . 3 is an even number, or it is prime. 4 is an even number, and it is prime. 9 is an even number, or it is prime.e Exercise Consider the following propositions: are they true or false? * Every number in the set {1, 2, 3, 4, 5} is below 10. * Every number in the set {1, 2, 3, 4, 5} is prime. + Every real number is greater than 0. * There is a real number that is greater than 0. e Exercise Can you translate the following propositions into compound propositions using the A, v. = operators? = Every number in the set {1, 2, 3, 4, 5} is below 10. * There is a prime number in the set {1, 2, 3, 4, 5}. e Exercise Let's return to our previous example. Can you rewrite these propositions using predicates and quantifiers? * Every number in the set {1, 2, 3, 4, 5} is below 10. * There is a prime number in the set {1. 2, 3. 4, 5}. 6 More practice Translate the following statements as compound propositions {using A,V and 1) and as quantified propositions: 1. Every number in the set {2, 4, 8, 16} RV 2. No number in the set {2, 4, 6, 16} is odd. 3. There is a number in the set {2, 4, 6, 16} greater than 10. 4. Not all numbers in the set {2, 4, 6, 16} are greater than 10. Exercise Which of the following answers (including the justifications) are correct? 3x E R : X- = 4. True, for example 22 = 4. . 3xE R : X- = -4. False, for example 32 * -4. . 3x E R : X- = 4. False, for example 32 = 4. . VXER : X- + 2 > 1. True, for example 32 + 2 2 1. . VXER: X- - 12 1. False, for example 12 - 1 1. True, for example 32 - 2 = 1. Make a note of your answers before continuing.\fExample 2 BX ER : X =-4).\fExample 4 (L x) V (