Question

f 4) Which point is a solution to the System of Inequalties given below? 3r-2v> 7 4x + 3r< 12 A) (2.2) C) 14.-1) B) (2.-2) D) (0,0)

Answer 1

3 x - 2y > 7 ---------- equation 1 x 4 = 12 x - 8y > 28............. equation (3)

4 x - 3 y < 12 ------------ equation 2 x -3 = -12 x +9y > -36 ................equation (4)

equation 3 - equation 4 , we have :

12 x - 12 x - 8 y - +9 y > 28 + 36

-17 y > 64

y < 64/ -17

y < 3.76

put y < 3.76 in equ (1 ),

3 x - 2 (3.76) < 7

3 x - 7.52 < 7

3x < 7 + 7.52

3 x < 14.52

x < 14.52 / 3

x < 4.84

( 3. 76, 4. 84 )