Anchor: .,p be the prices for goods household purchases, M be the
Entailed: P is a variable representing the amount spent on goods by a household.
Contradiction: Latin is the most widely spoken language.
Contradiction: It defiantly mattered. 
Contradiction: The performer avoids being burned.
Contradiction: The only way to reach the peak is to take a 4 hour roundtrip hike.
Contradiction: They live in cardboard boxes in migrant labor camps