Graph the solution sets of the following inequalities : x + y ≥ 4.

Solution:

Given inequality x + y ≥ 4

First let’s get the graph by plotting with sample values of x, y

We get straight line passing through (4, 0) and (0, 4)

If x = 0 then x + y ≥ 4 → 0 + y ≥ 4 : y ≥ 4

If y = 0 then x + y ≥ 4 → x + 0 ≥ 4 : x ≥ 4

Hence, the solution sets for the given expression is all the values of x greater than 4 and all values of y greater than 4( the blue shaded region)

Graph the solution sets of the following inequalities : x + y ≥ 4.

Summary:

Graph the solution sets of the following inequalities : x + y ≥ 4 is given above, the solution sets are x ≥ 4 and y ≥ 4.