Match each equation or inequality in Column I with the graph ofits solution set in Column II. | x | ≠ 7

Inequalities are mathematical expressions that show the relationship between two values when they are not equal. In this case, the expression |x| ≠ 7 indicates that the absolute value of x cannot equal 7, meaning x can take any value except for 7 and -7. Understanding how to interpret and graph inequalities is crucial for visualizing their solution sets.

The absolute value of a number is its distance from zero on the number line, regardless of direction. For example, |7| = 7 and |-7| = 7. In the context of the inequality |x| ≠ 7, it signifies that x can be any value except for the two points where the absolute value equals 7, which are 7 and -7.

Graphing solution sets involves representing the solutions of an equation or inequality on a number line or coordinate plane. For the inequality |x| ≠ 7, the graph would show all real numbers except for the points 7 and -7, typically represented with open circles at these points to indicate they are not included in the solution set.