Answer:
○ [tex]\displaystyle y ≥ 3x - 2 \\ x + 2y ≤ 4[/tex]
Step-by-step explanation:
This system of inequalities has a shared portion at the origin, so we can easily jump to using the zero-interval test [test point (0, 0)] to verify the inequalities as false or true:
[tex]\displaystyle 0 + 2[0] ≤ 4 → 0 ≤ 4[/tex]☑
[tex]\displaystyle 0 ≥ 3[0] - 2 → 0 ≥ -2[/tex]☑
Plus, both inequalities have a solid line, so they must have an equivalence line underneath each inequality symbol.
So, from all what was explained, you have your answer.
I am joyous to assist you anytime.
