Question

Graph the intersection or union, as appropriate, of the solutions of the pair of linear inequalities

Answer 1

See graph below

Expanation:

The given inequalities:

`\begin{gathered} x\text{ + y }\leq\text{ 4} \\ x\text{ }\ge2 \end{gathered}`

To plot the graphs, we will assing values to x in order to get the corresponding values of y for each of the inequality:

let x = 0, 2, 4

x + y = 4

from the above: y = 4 - x

when x = 0

y = 4

when x = 2

y = 4 - 2 = 2

when x = 4

y = 4 -4 = 0

we only have x in the second inequality

we will have a vertical line for x = 2

But the shading will be towards the right because the inequality is greater than x

plotting the graph:

The solution of the inequalities is the point of intersection of both graphs (the darker shade)