Hello from MrBillDoesMath!
Answer:
The first choice (2x + 4y >=3, 2x +4y <=3)
Discussion:
Suppose a variable M met these conditions: M >=3 and M <=3. The only way this can happen is that M = 3. In our case letting M = 2x + 4y, we find the inequalities give
2x + 4y = 3
which is the equation of a line. (The other choices do NOT include the boundary line because they use strict < or > signs.)
Thank you,
MrB
