if the replacement set is the set of integers, find the solution set for the inequality: ( x - 9 < -15 ) \na…

if the replacement set is the set of integers, find the solution set for the inequality: ( x - 9 < -15 ) \na ( {-8, -7, -6, dots} ) \nb ( {-9, -8, -7, dots} ) \nc ( {dots, -8, -7, -6} ) \nd ( {dots, -9, -8, -7} )

if the replacement set is the set of integers, find the solution set for the inequality: ( x - 9 < -15 ) \na ( {-8, -7, -6, dots} ) \nb ( {-9, -8, -7, dots} ) \nc ( {dots, -8, -7, -6} ) \nd ( {dots, -9, -8, -7} )

Answer

Explanation:

Step1: Solve the inequality

Add (9) to both sides of (x - 9\lt - 15). (x-9 + 9\lt-15 + 9), which simplifies to (x\lt-6).

Step2: Determine the solution set

Since (x) is an integer and (x\lt-6), the integers less than (-6) are (\cdots,-9,-8,-7).

Answer:

D. ({\cdots,-9,-8,-7})