Question

Help if you can and thanks!

Answer 1

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`\displaystyle y ≥ 3x - 2 \\ x + 2y ≤ 4`

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:

`\displaystyle 0 + 2[0] ≤ 4 → 0 ≤ 4`☑

`\displaystyle 0 ≥ 3[0] - 2 → 0 ≥ -2`☑

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.