Question

Graph the solution for the following system of inequalities. Click on the graph until the correct solution is displayed. 2x + y < 0 y ≥ -4 - 2x

Answer 1

Given system of inequalities,

2x + y < 0 --------(1)

y ≥ -4 - 2x ------(2),

The related equation of inequality (1) is,

2x + y = 0

Which is a line which passes through the origin.

'<' shows the dotted line.

Now, the related equation of the inequality (2),

y = -4 - 2x

Which is also a line having x-intercept (-2,0) and y-intercept (0,-4),

And, 0 ≥ -4 - 2(0) ( True )

Thus, the area of inequality (2) must be contain the origin.

Also, '≥' shows the solid line.

Hence, by the above explanation we can plot the both inequality on a graph.

And, the solution of the system of these inequalities is the feasible region of the inequalities.( shown below )

Answer 2

Keep clicking until it looks like this.