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.
