Plot the region of the points P (x,y) satisfying `|x|+|y| lt 1.`

Explanation

To plot the region of the points \( P(x, y) \) satisfying \( |x| + |y| < 1 \), we can break down the absolute value expressions into linear inequalities. Here’s a step-by-step solution:

### Step 1: Understand the Absolute Value
The expression \( |x| + |y| < 1 \) can be interpreted as the sum of the distances of the point \( P(x, y) \) from the x-axis and y-axis being less than 1.

### Step 2: Break Down the Inequality
The absolute value function can be split into four cases based on the signs of \( x \) and \( y \):

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