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

Option D, no solution

Step-by-step explanation:

The system of linear inequalities is

y > (x) - 1 ------(1)

y < (x) - 1 ------(2)

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

y = (x) - 1

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

y = (x) - 1

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

Option D, no solution is the answer.

bn,mn,n.vn.

step-by-step explanation:

37/3

step-by-step explanation:

step 1: simplify both sides of the equation.

7x+8(x+

1

4

)=3(6x−9)−8

7x+(8)(x)+(8)(

1

4

)=(3)(6x)+(3)(−9)+−8(distribute)

7x+8x+2=18x+−27+−8

(7x+8x)+(2)=(18x)+(−27+−8)(combine like terms)

15x+2=18x+−35

15x+2=18x−35

tep 2: subtract 18x from both sides.

15x+2−18x=18x−35−18x

−3x+2=−35

step 3: subtract 2 from both sides.

−3x+2−2=−35−2

−3x=−37

step 4: divide both sides by -3.

−3x

−3

=

−37

−3

x=

37

3