Answer:
always True
sometimes true
sometimes true
always true
sometimes true
always true
Step-by-step explanation:
As product of non-zero rational number and irrational number is irrational,
3x is an irrational number : always True
Take
Here, is an irrational number.
is also an irrational number
Now take
Here, is an irrational number.
is a rational number
So,
is a rational number: sometimes true
Take
Here, are irrational numbers.
is also an irrational number.
Now take
Here, are irrational numbers.
is a rational number.
So,
is a rational number: sometimes true
As sum of a rational number and an irrational number is always irrational,
is an irrational number: always true
Take
Here, are irrational numbers.
is a rational number
Now take
Here, are irrational numbers.
is an irrational number.
So,
is a rational number: sometimes true
As difference of two irrational numbers is always irrational,
is an irrational number: always true