Respuesta :

We can graph the given inequality on a number line. Now this graph will include open circle as the inequality is -3<x<5. Which include "<" sign.

It means x is more than -3 but not -3 and less than 5 but not 5.

So, x is more than -3 and less than 5 are -2,-1,0,1,2,3,4.

Notice these data doesn't have -3 and 5. So, it will be open circle.

But if it would include -3 and 5 also like -3≤x≤5 then it must be closed circle at -3 and 5.

So, first step is to plot a open circle at -3 and 5.

Now next step is find where to shade the region.

Since it's x more than -3, so on number line more than -3 is towards right of -3.

Similarly x less than 5 will be left of 5. So, we need to shade the middle region of -3 and 5.

Ver imagen Numenius