what is the solution set {c/c<}A metal stays solid at Fahrenheit temperatures below 1532.9o. Determine ( in terms of an inequality) those temperatures for which the mettal stays solid.F=9/5c+32.

1532.9 F = 833.8 C

You can get that from the conversion formula.
T < 833.8 C is the region where the metal is a solid.
Put that into "solution set" language - if you must.