Is the ordered pair is a solution or not to tha given linear inequality.
y>2x-8
(0,0)
(-2,1)
(3,4)
(5,0)
(-1,-1)
Answers
Given: Inequality given is y>2x-8
To find: Whether the given points are the solution of inequality or not.
Solution:
Inorder to check whether the given coordinates are the solution of inequality or not, we will substitute the coordinate value one by one and if they satisfy the inequality, we can conclude that they are solution.
(0 , 0)
=> y > 2x - 8
=> 0 > 2(0) - 8
=> 0 > -8
This is true, hence (0, 0) is a solution.
(-2, 1)
=> y > 2x - 8
=> (1) > 2(-2) - 8
=> 1 > -4 -8
=> 1 > -12
This is true, hence (-2, 1) is a solution.
(3, 4)
=> y > 2x - 8
=> 4 > 2(3) - 8
=> 4 > 6 - 8
=> 4 > -2
This is true, hence (3, 4) is a solution.
(5, 0)
=> y > 2x - 8
=> 0 > 2(5) - 8
=> 0 > 10 - 8
=> 0 > 2
This is not true, hence (5, 0) is not a solution.
(-1, -1)
=> y > 2x - 8
=> -1 > 2(-1) - 8
=> -1 > -2 -8
=> -1 > -10
This is true, hence (-1, -1) is a solution.
Hence all the ordered pairs except (5, 0) are the solutions of given inequality.