What kind of Inequality Is this? vert x-2vert lt 7 AND cor compound inquality OR compound inequality

To solve the inequality , we need to consider the definition of absolute value. The absolute value of a number is the distance of that number from zero on the number line. In this case, the absolute value of represents the distance of from 2 on the number line.The inequality means that the distance of from 2 is less than 7. This can be written as a compound inequality: To solve this compound inequality, we need to isolate by adding 2 to all parts of the inequality: Simplifying, we get: Therefore, the solution to the inequality is the compound inequality .