Answer:
[tex]\displaystyle Bottom\:Right\:Graph[/tex]
Step-by-step explanation:
Use the zero-interval test [test point (0, 0)] to verify them as false or true, and to determine whether we shade the shared opposite portions [a shared portion that does NOT contain the origin] or the shared portions that DO contain the origin:
[tex]\displaystyle 0 ≤ 0 - 2 → 0 ≰ -2[/tex]
[tex]\displaystyle 0 < -3[0] - 2 → 0 ≮ -2[/tex]
So, this system will be shaded in a shared opposite portion.
*NOTE; Both inequalities have an identical y-intercept of [tex]\displaystyle [0, -2],[/tex]so both inequalities must intersect the y-axis at [tex]\displaystyle [0, -2],[/tex]and since there are already lines labeled as dashed and solid, we do not have to worry about it in this case.
** None of the other graphs match this, so the bottom right graph has to be it, considering it cut off.
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