1. **State the problem:** Graph the inequality $x - y < -1$ on the coordinate plane with axes ranging from -10 to 10.
2. **Rewrite the inequality:** Start by isolating $y$.
$$x - y < -1$$
Subtract $x$ from both sides:
$$\cancel{x} - y < -1 - \cancel{x}$$
which simplifies to:
$$-y < -1 - x$$
3. **Divide both sides by $-1$ to solve for $y$.** Remember, dividing an inequality by a negative number reverses the inequality sign:
$$\cancel{-1} \cdot y > \cancel{-1} \cdot (1 + x)$$
which gives:
$$y > x + 1$$
4. **Interpret the inequality:** The boundary line is $y = x + 1$. This line crosses the y-axis at $(0,1)$ and the x-axis at $(-1,0)$.
5. **Graph the boundary line:** Draw the line $y = x + 1$ as a dashed line because the inequality is strict ($>$), meaning points on the line are not included.
6. **Shade the solution region:** Since $y > x + 1$, shade the region above the line.
**Final answer:** The graph is the region above the dashed line $y = x + 1$ on the coordinate plane from -10 to 10 on both axes.
Graph Inequality B305B5
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