Please help, I'm running out of points.Solve for x: −6 < x − 1 < 9 5 < x < 10 −5 < x < 10 −5 > x > 10 5 > x > −10
Accepted Solution
A:
Answer: −5 < x < 10Step-by-step explanation:Add 1 to each part of the three parts of the inequality: -6 +1 < x - 1 +1 < 9 +1 -5 < x < 10 . . . . . simplify_____The only place where there's an x is in the middle section. The only operation performed on x is subtraction of 1. To undo that subtraction, you add 1, but you must add 1 to all sides of the comparison symbols in order to keep them true.Such a compound inequality is the same as the two inequalities:-6 < x-1x-1 < 9Solving either one of these is done by adding 1 to both sides of the < symbol:-5 < xx < 10You can put these back together in the form of the compound inequality ... -5 < x < 10