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مشاهدة المرفق 3167
Q1 :
a) Every UOB student is strong.
b) if any UOB student is healthy, then he/she is strong but not smart.
c) Every UOB student is both not healthy and not smart.
d) There is at least one UOB student who is not both strong and smart.
d alternative ) There exists a UOB student who is either not smart, not strong, ot both.
Q2 :
1) There is at least one UOB student who is healthy and strong but not smart.
2) There is at least one UOB student who is healthy or smart.
3) There is no UOB student who is not both strong and smart.
3 alternative ) All uob students are strong and smart.
Q3 :
a) False
ax1) both x and y are integers.
xy = 1
y = 1/x
y is not an integer, which contradicts "ax1"
Therefore the statement is false.
b) True
both x and y are Real numbers
xy = 1
y = 1/x
For every x there is a y, namely one divided by x, such that the priduct of x and y is equal to 1.
c) True
y + x = y
x = y-y = 0
Zero is the identity for addition
Therefore there exist a number x, 0, that satisfies the equation.
d) True
To prove it we give an example.
let x = y = 1
xy = 1*1 = 1
which satisfies the equation
