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

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

Answer

Explanation:

Step1: Isolate x by adding 9 to both sides

$x - 9 + 9 < -15 + 9$

Step2: Simplify both sides of the inequality

$x < -6$

Step3: Match to integer solution set

Integers less than -6 are all integers extending to negative infinity, up to -7, -8, -9, etc.

Answer:

D. ${\dots, -9, -8, -7}$