Question

I’m trying to graph the Union or intersection of the solutions of the pair of inequalities x+y ≤ 2 and x ≥ 1

Answer 1

Given:

x + y ≤ 2 (Equation 1)

x ≥ 1 (Equation 2)

Step 1: Let's first determine the points (at leat 2) that past through the graph.

For x + y ≤ 2,

At x = 0,

0 + y = 2

y = 2

Point 1 : 0, 2

At y = 0,

x + 0 = 2

x = 2

Point 2 : 2, 0

For x ≥ 1 ,

This is a vertical line graph.

At x = 1

Point 1 : 1, 0

Step 2: Let's now plot the graph.

Take note on graphing:

< or > dashed line

≤ or ≥ solid line

> or ≥ shaded at top

< or ≤ shaded at bottom

We get,