Q50. - Algebra 2

Question

Graph each inequality.

$50. x>y-1$

Step-by-Step Solution

Answer

The graph of inequality is as shown.

Step-1 – convert the given in equation in to equation

$\begin{array}{l}x>y-\mathrm{1.......}\left(1\right)\\ x=y-1\\ x-y=-1\end{array}$

Step-2 – Solving for point identification

To solve the equation by putting the value of given variables one by one zero we get,

$\begin{array}{ccc}x& 0& -1\\ y& 1& 0\end{array}$

Step-3 – solve to identify the shaded region with respect to origin

Now, substitute point $\left(0,0\right)$ in first equation we get,

$\begin{array}{l}x>y-1\\ x-y=-1\\ 0-0=-1\\ 0>-1\end{array}$

$0>-1$ It is true, so that shaded region fall towards the origin.

Step-4 – Plot the graph

Hence, the graph of inequality is as shown.