Question

Graph the following inequality and then select the correct graph below.

x - y - 2 ≥ 0

Answer 1

here is your answer............

Answer 2

Second graph

Explanation:

Given inequality,

x - y - 2 ≥ 0

⇒ x - y ≥ 2

The related equation of the inequality,

x - y = 2

Having x-intercept = (2, 0)

y-intercept = (0,-2),

Also, 0 - 0 ≥ 2 ( False )

Thus, the inequality will not contain the origin,

Again,

'≥' shows the solid line.

Hence, by the above explanation it is clear that the SECOND graph would be the graph of given inequality.