Question

Which set of ordered pairs satisfy the given system of inequalities

Answer 1

AS per given by the question,

There are given that the graph of inequalities.

Now,

The given inequalities is,

$\begin{gathered} y<2x+1 \\ x\leq0 \end{gathered}$

Then,

From the option first;

Put the option first in the given inequalities,

So,

$\begin{gathered} y<2x+1 \\ -2<-5,\text{ -1<-3, 3<1} \end{gathered}$

So, option first is not satisfied .

For option B;

$\begin{gathered} y<2x+1 \\ -2<-5,\text{ 1<-3, -8<}-7 \end{gathered}$

Now,

For option C;

$\begin{gathered} y<2x+1 \\ 3<-1,\text{ -5<-3, -8<7} \end{gathered}$

Now,

For the option D;

$-3<-1,\text{ -5<-3, -8<-7}$

Hence, the option D is correct.