Chapter 1 - Equations and Inequalities - 1.8 Absolute Value Equations and Inequalities - 1.8 Exercises - Page 167: 5

$C$

RECALL: $|x| \lt a \longrightarrow -a \lt x \lt a$ Using the rule above gives: $|x| \lt 7 \longrightarrow -7 \lt \lt 7$ Thus, the solutions to the given inequality are the numbers between $-7$ and $7$ (not including -7 and 7). The graph that represents these numbers is the one in Option $C$.