Question
Draw the graph of the solution set of $x < y.$
✓
Answer
The given inequality is $x < y \quad\quad\ldots \text{(i)}$
Step 1: Consider inequation as strict equation i.e., $x=y$
Step 2: Find the points on x-axis and y-axis i.e.,
Step 3: Plot the graph using the above table.
Step 4: Take a point $(1, 1)$ and put it in the given inequation (i), we get $1 > 1,$ which is false, so shaded region will be away from the origin.
Here, shaded region shows the inequality $x < y.$
Step 1: Consider inequation as strict equation i.e., $x=y$
Step 2: Find the points on x-axis and y-axis i.e.,
| x | 1 | 2 | -1 | -2 |
| y | 1 | 2 | -1 | -2 |
Step 4: Take a point $(1, 1)$ and put it in the given inequation (i), we get $1 > 1,$ which is false, so shaded region will be away from the origin.
Here, shaded region shows the inequality $x < y.$
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