In a survey, 105 students like Maths, 25 didn’t like Maths, 95 didn’t like Science, 83 like Maths but not Science. Find by drawing Venn-diagram. How many students like – a. At least one subject
b. Exactly one subject
c. At most one subject​

a = 118

b = 96

c = 108

Step-by-step explanation:

105 + 25 = 130

130 students

83 = maths ONLY

105 - 83 - 22

22 = maths and science

95 didnt like science

130 - 95 = 35

35 liked science

35 - 22 = 13

13 people liked science ONLY

83 + 22 + 13 = 118

130 - 118 = 12

leaving 12 as the people who like neither

130 - 22 = 108 = people who like 0 or 1 subject (at most one subject)

an

y = 6x -3y -12

y +3y +12 = 6x

=> . x = { 2y / 3 +2 } this is equation of line in terms of x

=> . if line meets the x-axis the co-ordinates of meeting point would be ( x , 0 )

=> . x = 2 ( 0 ) / 3 + 2

=> . x = 2

so, the point is ( 2 , 0 )