The ordered pairs that are solution to the given inequality are: (1,3) and (3,5)
Further explanation:
In order to check whether any pair is the solution of inequality or not, the pair is put into the equation and it is evaluated whether the inequality is true with the ordered pair or not
So,
Given
[tex]y-4x<-6[/tex]
(1,3)
[tex]1-4(3)<-6\\1-12<-6\\-11<-6[/tex]
the inequality is true for (1,3)
(0, -5)
[tex]y - 4x<-6\\-5-4(0)<-6\\-5-0<-6\\-5<-6[/tex]
The inequality is not true for (0,-5)
(-2, -14)
[tex]y - 4x<-6\\-14-4(-2)<-6\\-14+8<-6\\-6<-6[/tex]
The inequality is not true for (-2,-14)
(3,5)
[tex]y - 4x<-6\\5 - 4(3)<-6\\5-12<-6\\-7<-6[/tex]
the inequality is true for (3,5)
(-1 ,– 9)
[tex]y - 4x<-6\\-9 - 4(-1)<-6\\-9+4<-6\\-5<-6[/tex]
The inequality is not true for (-1,-9)
The ordered pairs that are solution to the given inequality are: (1,3) and (3,5)
Keywords: Inequalities, Solution of inequality
Learn more about inequalities at:
- brainly.com/question/12884373
- brainly.com/question/12896802
#LearnwithBrainly
