A metal stays solid at Fahrenheit temperatures below 1691.7 degrees. Determine (in terms of an inequality) those Celsius temperatures for which the metal stays solid. Use the formula F= 9/5 C + 32.

1691.7 < 9/5 C + 32

1691.7 > 9/5 C + 32

Sorry!

To determine the Celsius temperatures for which the metal stays solid, we need to find the range of Celsius temperatures that correspond to Fahrenheit temperatures below 1691.7 degrees.

First, let's rearrange the equation F = (9/5)C + 32 to solve for C:

F = (9/5)C + 32
Subtract 32 from both sides:
F - 32 = (9/5)C
Multiply both sides by 5/9 to isolate C:
(5/9)(F - 32) = C

Now, we can substitute 1691.7 degrees Fahrenheit for F and solve for C:

(5/9)(1691.7 - 32) = C
(5/9)(1659.7) = C
C ≈ 921.0

Therefore, the metal stays solid for Celsius temperatures below approximately 921.0 degrees. In terms of an inequality, we can express this as:

C < 921.0