Answer:
(3,2) is a solution to the inequality.
Step-by-step explanation:
The inequality is given by [tex]y\leq 2x - 4[/tex]
We can find the solution by trial and error method where we substitute the value of x and y and check whether it satisfies the inequality.
Putting [tex]x = -1[/tex] and [tex]y = 1[/tex] , we get
[tex]1\leq (2\times-1) - 4[/tex]
[tex]1\leq -6[/tex] which is not possible.
Hence (-1,1) is not a solution.
Putting [tex]x = 1[/tex] and [tex]y = -1[/tex] , we get
[tex]-1\leq -2[/tex] which is impossible.So (1,-1) is not a solution
Putting [tex]x=3[/tex] and [tex]y=2[/tex] , we get
[tex]2\leq 2[/tex] which is possible and hence (3,2) is a solution.
Putting [tex]x=2[/tex] and [tex]y=3[/tex] we get
[tex]3\leq 0[/tex] which is impossible and (2,3) is not a solution.
