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 lessthan 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.
This means for each hour the temperature drops 0.08. This is the expression 0.08x where x is number of hours.
a.) If the temperature has dropped 4.4, then 4.4 = 0.08x. Solving for x will give the number of hours it takes to drop 4.4.
4.4 = 0.08x
4.4 / 0.08 = x
55 = x
b.) If the temperature after 55 hours and dropping 4.4 is -2.5, then the temperature at the start would be -2.5 + 4.4 = 1.9. The temperature at noon was 1.9 degrees celsius.