Yes!False. As temperature decreases, the cell produces more of the unsaturated. The double bonds in the hydrophobic tails create bends/kinks in the tails, preventing compact storage at lower temperatures. This maintains membrane fluidity and membrane fracture. A good example: fish that live in cold water have a higher concentration of unsaturated lipids per cell than fish that live in warmer climates.
(& another note, you needed to hide your answer)