In a group of 50 students, 29 celebrate Hanukkah, and 36 celebrate Christmas. If every one of the students in the group celebrates Hanukkah or Christmas or both Hanukkah and Christmas, how many of the students celebrate both holidays?

15 students celebrate both holidays

Step-by-step explanation:

Let the number of students that celebrate both be x

By set notation, we add up individual sides as follows to give the number of values on the universal set

Mathematically, that will be;

50 = (29-x) + (36-x) + x

50 = 29-x + 36-x + x

50 = 65-x

x = 65-50

x = 15

step-by-step explanation:

y = | -2(-2) |     →     y = | 4 |     →     y = 4       ⇒   (-2, 4)

y = | -2(-1) |     →     y = | 2 |     →       y =   2       ⇒   (-1, 2)    

y = | -2(0) |     →     y = | 0 |     →       y = 0         ⇒   (0, 0)

y = | -2(1) |   c →     y = | -2 |     →     y =   2         ⇒   (1, 2)    

y = | -2(2) |     →     y = | - 4 |     →     y =   4         ⇒   (2, 4)  

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