Answer :
Sure! Let's solve the inequality step-by-step.
Given inequality:
[tex]\[ -7 < x - 1 < 8 \][/tex]
Step 1: Add 1 to all parts of the inequality to isolate [tex]\( x \)[/tex]
-7 + 1 < x - 1 + 1 < 8 + 1
This simplifies to:
[tex]\[ -6 < x < 9 \][/tex]
Now that we have isolated [tex]\( x \)[/tex], the solution to the inequality is:
[tex]\[ -6 < x < 9 \][/tex]
So, the correct answer is:
[tex]\[ -6 < x < 9 \][/tex]
Given inequality:
[tex]\[ -7 < x - 1 < 8 \][/tex]
Step 1: Add 1 to all parts of the inequality to isolate [tex]\( x \)[/tex]
-7 + 1 < x - 1 + 1 < 8 + 1
This simplifies to:
[tex]\[ -6 < x < 9 \][/tex]
Now that we have isolated [tex]\( x \)[/tex], the solution to the inequality is:
[tex]\[ -6 < x < 9 \][/tex]
So, the correct answer is:
[tex]\[ -6 < x < 9 \][/tex]
