Respuesta :
Answer:
None of these ordered pairs make both inequalities true.
Step-by-step explanation:
The given inequalities are
[tex]y<5x+2[/tex]
[tex]y>x+1[/tex]
For (-3,2),
[tex]2<5(-3)+2\Rightarrow 2<-13[/tex]
The first inequality is not true for (-3,2), therefore option 1 is incorrect.
For (-1,3),
[tex]3<5(-1)+2\Rightarrow 3<-3[/tex]
The first inequality is not true for (-1,3), therefore option 2 is incorrect.
For (0,2),
[tex]2<5(0)+2\Rightarrow 2<2[/tex]
The first inequality is not true for (0,2), therefore option 3 is incorrect.
For (1,2),
[tex]2<5(1)+2\Rightarrow 2<7[/tex]
[tex]2>1+1\Rightarrow 2>2[/tex]
The second inequality is not true for (1,2), therefore option 4 is incorrect.
For (2,-1),
[tex]-1<5(2)+2\Rightarrow -1<12[/tex]
[tex]-1>2+1\Rightarrow -1>3[/tex]
The second inequality is not true for (2,-1), therefore option 5 is incorrect.
For (2,2),
[tex]2<5(2)+2\Rightarrow 2<12[/tex]
[tex]2>2+1\Rightarrow 2>3[/tex]
The second inequality is not true for (2,2), therefore option 6 is incorrect.
