Answered

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

Verified Answer :

nobillionaireNobley

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

Answer:

Option D, no solution

Step-by-step explanation:

The system of linear inequalities is

y > \(\frac{3}{2}\) (x) - 1 ------(1)

y < \(\frac{3}{2}\) (x) - 1 ------(2)

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

y = \(\frac{3}{2}\) (x) - 1

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

y = \(\frac{3}{2}\) (x) - 1

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

Option D, no solution is the answer.

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