Write your answer in interval notation and graph the solution set.

2/3< (2-x)/9.

Solve the inequality
set.

-4> x

Step-by-step explanation:

2/3 < (2-x) /9

Multiply each side by 9

2/3*9 < (2-x) /9*9

6 < 2-x

Subtract 2 from each side

6-2 < 2-2-x

4< -x

Multiply each side by -1, remembering to flip the inequality

-1 *4> -x*-1

-4> x

check above link.

graphically?   well, you graph them both, the solutions is where they both intersect each other, since there are two solutions, meaning they will meet twice, or namely the linear will run into the quadratic curve twice, and where they meet, those x,y coordinates are the solutions to the system.

an

y = 6x -3y -12

y +3y +12 = 6x

=> . x = { 2y / 3 +2 } this is equation of line in terms of x

=> . if line meets the x-axis the co-ordinates of meeting point would be ( x , 0 )

=> . x = 2 ( 0 ) / 3 + 2

=> . x = 2

so, the point is ( 2 , 0 )