Consider the linear inequality: y > −x + 3

Determine whether the ordered pair (5,-2) is a solution of the inequality.

If the ordered pair is a solution, explain why.

The ordered pair is a solution of the linear equality.

Step-by-step explanation:

Whenever you have an equation like that—it's always helpful to remember x come before y in an ordered pair. (x, y). So, from there plug the numbers into the inequality and solve.

5 > - 2 + 3
5 > 1

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 )

or

step-by-step explanation:

we need to solve for 'x' the following equation:  

we have that:

⇒

⇒ ⇒

factorizing, we get that:

  ⇒

then, the solutions are: or

nothing extraneous has been found!