Answer :

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

We have the inequality:

[tex]\[ x + 7.5 > -2.5 \][/tex]

To isolate [tex]\( x \)[/tex] and solve the inequality, we need to get rid of the 7.5 on the left side. We can do this by subtracting 7.5 from both sides of the inequality:

1. Subtract 7.5 from both sides:

[tex]\[ x + 7.5 - 7.5 > -2.5 - 7.5 \][/tex]

This simplifies to:

[tex]\[ x > -10 \][/tex]

So, the solution to the inequality is [tex]\( x > -10 \)[/tex].

This means that any value of [tex]\( x \)[/tex] greater than [tex]\(-10\)[/tex] satisfies the inequality.