Question

Which ordered pair is in the solution set of the system of linear inequalities

y > 3/2x-1
y <3/2x-1

(–5, 2)
(2, 2)
(5, 2)
no solution

Answer 1

Option D, no solution

Explanation:

The system of linear inequalities is

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

y <
`(3)/(2)` (x) - 1 ------(2)

Inequality (1) has all the ordered pairs in the solution set above the line

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

and inequality (2) has all the ordered pairs in the solution set below the line

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

Therefore, solution set of these two inequalities will no be common.

Option D, no solution is the answer.

Answer 2

no solution
because a number can not be less than and greater than the same number.