To solve the inequality [tex]\( x + 1 > 6 \)[/tex], follow these steps:
1. Start with the given inequality:
[tex]\[
x + 1 > 6
\][/tex]
2. Isolate the variable [tex]\( x \)[/tex]. To do this, subtract 1 from both sides of the inequality. This will help to isolate [tex]\( x \)[/tex] on the left side:
[tex]\[
x + 1 - 1 > 6 - 1
\][/tex]
3. Simplify both sides of the inequality:
[tex]\[
x > 5
\][/tex]
Thus, the solution to the inequality [tex]\( x + 1 > 6 \)[/tex] is:
[tex]\[
x > 5
\][/tex]
