Question

Which test point holds true for 3/2y - 2x>1?

A. (1/4, 1)
B. (4, 1)
C. (1, 1/4)
D. (1, 0)
E. (1/4, 3/4)

Answer 1

Answer with explanation:

The given Inequality is :

`(3 y)/(2) -2 x>1\\\\ (x)/((-1)/(2))+(y)/((2)/(3))>1`

Writing the inequality in slope intercept form,of line and then drawing the line

`(x)/((-1)/(2))+(y)/((2)/(3))=1`

or the equation of line is , 3 y-4 x=2

and the inequality becomes, 3 y -4 x >2

Checking which points lie on the solution region

Point, (0,0) does not satisfies the inequality.So,color the area on the left of line,also the points on the line will not be included as a solution,as this is an open set.

⇒⇒None of the points lie in the solution region.

Answer 2

For the answer to the question above asking Which test point holds true for 3/2y - 2x>1?
There exists a question that instead of >, the symbol used is ≥. Substitute the value of abscissas and ordinates of the points to x and y, respectively.
The answer to the question above is the first one among the given choices which is A. (1/4, 1)