Alex says x = -1 is the solution to the following system of inequalities. Explain to Alex when x = -1 is a solution and when it is not a solution.

y ≥ -1/2x - 3
y

Question

Alex says x = -1 is the solution to the following system of inequalities. Explain to Alex when x = -1 is a solution and when it is not a solution.

y ≥ -1/2x - 3
y < 3x + 1

Sorry I can't post the graph.

anonymous · Answer

condition 1)
$$y\ge{-1\over 2}x-3\
\text{we plug in x=-1}\
y\ge-{1\over2}(-1)-3\
y\ge{1\over 2}-3\
y\ge{-5\over2}
$$
similarly, what does the second condition give us?