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Graph the inequality, x + y ≤ 1 treating it like a general equation.

Similarly graph the inequality x - y ≤ 3.

Now, shade the region of the given inequalities

according to their signs.

The red line represents x + y ≤ 2

The green line represents x – y ≤ 1.

The common shaded region is the solution of the given system.

The shaded region continues till the end of the straight lines.

Graph the inequality, x - y ≥ 3 treating it like a general equation.

Similarly graph the inequality x + y ≤ 1

Now, shade the region of the given inequalities

according to their signs.

The green line represents x – y ≥ 3.

The red line represents x + y ≤ 1.

The common shaded region is the solution of the given system.

The shaded region continues till the end of the straight lines.