The symbol ∣a∣ means +a if a is greater than or equal to zero, and −a if a is less than or equal to zero; the symbol < means "less than"; the symbol > means "greater than."
The set of values x satisfying the inequality ∣3−x∣<4 consists of all x such that:
<spanclass=′latex−bold′>(A)</span>x2<49<spanclass=′latex−bold′>(B)</span>x2>1<spanclass=′latex−bold′>(C)</span>1<x2<49<spanclass=′latex−bold′>(D)</span>−1<x<7<spanclass=′latex−bold′>(E)</span>−7<x<1