Silver is liquid for Celsius temperatures C such that 960.8 degrees (less than or equal to) C < 2180 degrees. Find such an inequality for for the corresponding Fahrenheit temperatures.
C = 5/9 (F-32)
so, now you have
960.8 <= C < 2180
960.8 <= 5/9 (F-32) < 2180
1729.44 <= F-32 < 3924
1761.44 <= F < 3948
To find the inequality for the corresponding Fahrenheit temperatures, we can use the conversion formula:
F = (9/5)C + 32
Let's substitute the given temperature range into the equation:
For the lower limit, we have:
F = (9/5)(960.8) + 32
F = 1720.56 + 32
F ≈ 1752.56
For the upper limit, we have:
F = (9/5)(2180) + 32
F = 3924 + 32
F ≈ 3956
Therefore, the inequality for the corresponding Fahrenheit temperatures is:
1752.56 ≤ F < 3956