+394 Researchers interviewed a number of people. Of all the respondents, 228 think Hollywood is unfriendly toward religion, 150
think the media are unfriendly toward religion, 171 think scientists are unfriendly toward religion, 136 think both Hollywood and the media are unfriendly toward religion, 111 think both scientists and the media are unfriendly toward religion, 79 think exactly two of these groups are unfriendly toward religion, 100 think all three groups are unfriendly toward religion, and 224 think none of these three groups are unfriendly toward religion. Use a Venn diagram to complete parts (a) and (b) below. Complete the Venn diagram. Let H be the set of respondents that think Hollywood is unfriendly toward religion, M be the set of respondents that think the media are unfriendly toward religion, and S be the set of respondents that think scientists are unfriendly toward religion.
How many respondents
(a) were surveyed?
(b) think exactly one of these three groups is unfriendly towards religions?
