Answer :

Sure, let's solve the given inequality step-by-step:

The inequality given is:
[tex]\[ x + 7 > 9 \][/tex]

To isolate [tex]\( x \)[/tex], we need to get rid of the constant term on the left side of the inequality. We do this by subtracting 7 from both sides of the inequality. Here's how it looks:

[tex]\[ x + 7 - 7 > 9 - 7 \][/tex]

Simplifying both sides, we get:

[tex]\[ x > 2 \][/tex]

So, the solution to the inequality [tex]\( x + 7 > 9 \)[/tex] is:

[tex]\[ x > 2 \][/tex]

This means that [tex]\( x \)[/tex] must be greater than 2 for the inequality to hold true.