Question

Which of the following points is a solution to the system of inequalities below?

y<2x+1
y≥−3x−4

Answer 1

To find the solution to the system of inequalities y < 2x + 1 and y ≥ -3x - 4, we need to find a point that satisfies both inequalities. Let's solve for y in each inequality to make it easier to plot on a graph and find the point of intersection.

Step-by-step explanation:

To find the solution to the system of inequalities y < 2x + 1 and y ≥ -3x - 4, we need to find a point that satisfies both inequalities. Let's solve for y in each inequality to make it easier to plot on a graph.

For the first inequality, y < 2x + 1, we can rewrite it as y = 2x + 1. For the second inequality, y ≥ -3x - 4, we can rewrite it as y = -3x - 4.

Now let's graph these two equations and find the point of intersection. The point of intersection will be the solution to the system of inequalities.