Every student in a discrete mathematics class is either a computer science or a mathematics major or is a joint major in these two subjects. how many students are in the class if there are 48 computer science majors (including joint majors), 23 mathematics majors (including joint majors), and 7 joint majors?

56 students

Step-by-step explanation:

The total number of students in the class is called the universal set

48 students are in computer science major including joint major

23 students are in Mathematics including joint major.

To find those that are in Computer science alone , subtract the joint major from the total computer science , that is

Computer science alone = 48 - 7 = 41

Also , Mathematics alone is found by subtracting joint major from the total Mathematics, that is

Mathematics alone = 23 - 7 = 16

Therefore the total number of students = Mathematics students alone + Computer science student alone + the joint majors

which is , 41 + 16 +7 =54

Therefore , there are 54 students in the class

walter needs to make at least 5 more cookies but no more than 40. 5 ≤ x ≤ 40

step-by-step explanation:

20 ≤ x + 15 ≤ 55

subtract 15 from all parts

20-15 ≤ x + 15-15 ≤ 55-15

5 ≤ x ≤ 40

this means how many more cookies he has to make

walter needs to make at least 5 more cookies, but no more than 40 cookies; 5 ≤ x ≤ 40