The ordered pair (3, 2) satisfy the both inequalities it means it lies in the intersection region of both the inequality option (A) is correct.
<h3>What is inequality?</h3>It is defined as the expression in mathematics in which both sides are not equal they have mathematical signs either less than or greater than, known as inequality.
We have inequality:
2x + 4y ≤ 12
3x - y < 2
Plug (-3, 2) in the above inequality:
2(-3) + 4(2) ≤ 12
-6 + 8 ≤ 12
2≤ 12 (True)
3(-3) - 2 ≤ 12
- 9 - 2 ≤ 12
-11 ≤ 12 (True)
Similarly, we can check for other inequalities.
Thus, the ordered pair (3, 2) satisfy the both inequalities it means it lies in the intersection region of both the inequality option (A) is correct.
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