Exercise 1.2.10. Suppose that Hector likes beans, does not like peas, does not like lentils and likes sunflower seeds. Which of the following statements are true, and which are false? (1) If Hector likes beans, then he likes lentils. (2) Hector likes lentils if and only if he likes peas. (3) Hector likes sunflower seeds, and if he likes lentils then he likes beans. (4) Hector likes peas and sunflower seeds if he likes beans. (5) If Hector likes lentils then he likes sunflower seeds, or Hector likes lentils if and only if he likes peas. (6) For Hector to like beans and lentils it is necessary and sufficient for him to like peas or sunflower seeds. Exercise 1.2.10. Suppose that Hector likes beans, does not like peas, does not like lentils and likes sunflower seeds. Which of the following statements are true, and which are false? (1) If Hector likes beans, then he likes lentils. (2) Hector likes lentils if and only if he likes peas. (3) Hector likes sunflower seeds, and if he likes lentils then he likes beans. (4) Hector likes peas and sunflower seeds if he likes beans. (5) If Hector likes lentils then he likes sunflower seeds, or Hector likes lentils if and only if he likes peas. (6) For Hector to like beans and lentils it is necessary and sufficient for him to like peas or sunflower seeds