A metal stays solid at fahrenheit temperatures below 1710.5 Determine (in terms of an inequakity) thoses celsius temperatures for which the metal stays solid. Use the formula F=9/5 C + 32.

The solution set is {C< __ fahrenheit} 1710.
Round to the nearest tenth.

they gave you the equation.

just sub in 1710.5 for F and solve

(9/5)C + 32 = 1710.5
etc

(hope you get 932.5)

To determine the Celsius temperatures for which the metal stays solid, we need to convert the given Fahrenheit temperature of 1710.5 into Celsius using the formula F = (9/5)C + 32.

Let's solve the equation for C:

1710.5 = (9/5)C + 32

Subtract 32 from both sides:

1710.5 - 32 = (9/5)C

1678.5 = (9/5)C

To isolate C, multiply both sides by (5/9):

(5/9)(1678.5) = C

C ≈ 932.5

Therefore, the Celsius temperature at which the metal stays solid is approximately 932.5.

Now, we need to express this condition in terms of an inequality. Since the metal stays solid at Fahrenheit temperatures below 1710.5, the Celsius temperatures would be less than 932.5.

Hence, the solution is {C < 932.5}.