Question

Graph each inequality by hand.

$x^2+y^2>1$

Short answer

The required graph is

Step-by-step solution

Step 1. Given Information  

We are given the inequality $x^2+y^2>1$and we need to graph it.

Step 2. Plotting the graph  

First, we plot the equation of the circle $x^2+y^2=1$with center $\left(0,0\right)$and radius $1$.

The graph of the inequality $x^2+y^2>1$is a dashed circle as the inequality is strict. Since$\left(0,0\right)$ does not satisfy the inequality, the graph consists of the portion away from the origin. The shaded portion represents the inequality. All the points outside the circle satisfy the inequality. The graph is