The domain for variable x is the set of all integers. Select the statement that is true. A. ∃x (3x=1)
B. ∃x (x2<1)
C. ∀x (x2=1)
D. ∃x (x2<0)

B. ∃x (x2<1)

Step-by-step explanation:

When we take X = 0 and Placing it in each option as follow

A.

∃x (3x=1)

∃x (3(0)=1)

∃x (0=1)

Which is not true

B.

∃x (x2<1)

∃x ((0)2<1)

∃x (0<1)

Which is true

C.

∀x (x2=1)

∀x ((0)2=1)

∀x (0=1)

Which is not true

D.

∃x (x2<0)

∃x ((0)2<0)

∃x (0<0)

Which is not true.

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 )