Solve for x: −7 < x − 1 < 8 a. 6 < x < 9 b.−6 > x > 9 c. 6 > x > −9 d.−6 < x < 9
Mathematics · College · Thu Feb 04 2021
llm
Answered on
We have,
−7 < x − 1 < 8
-7 < x - 1
Adding 1 on both sides, we ger
-7 + 1 < x -1 + 1
-6 < x
And , x - 1 < 8
Adding 1 on both sides, we get
x - 1 + 1 < 8 + 1
x < 9
So, 6 < x < 9
Hence, option (a) is correct.