I am having trouble figuring out the final step when i get to multiply 5/9(1955.6) to get the set solution. Can you help. the question is below

a metal stays solid at fahrenheit temperature below 1987.6. determine (in terms of an inequality) those celsius temperature for which the metal stays solid. use the formula f=9/5c+32

F= 9/5 C + 32

T<1987.6F
then
1987.6> 9/5 C+32
5*1955>9C
C<1955*5/9
C<I don't know what your problem is here. multiply 1955*5, then divide by 9
the temp C to stay solid will be below that.

To determine the Celsius temperature for which the metal stays solid, we need to use the given formula:

F = (9/5)C + 32

Where F represents the Fahrenheit temperature and C represents the Celsius temperature. We want to find the Celsius temperature that corresponds to a Fahrenheit temperature below 1987.6. Now let's solve the equation step by step:

1. Start with the given inequality:
F < 1987.6

2. Substitute the formula for F:
(9/5)C + 32 < 1987.6

3. Next, subtract 32 from both sides of the inequality to isolate the term with C:
(9/5)C < 1987.6 - 32

4. Simplify:
(9/5)C < 1955.6

5. To isolate C, divide both sides of the inequality by (9/5):
C < (1955.6) / (9/5)

6. To divide by a fraction, multiply by its reciprocal:
C < (1955.6) * (5/9)

7. Finally, simplify the expression to get the set solution:
C < 1086.4444 (rounded to four decimal places)

So, in terms of an inequality, the Celsius temperature for which the metal stays solid is C < 1086.4444.