Let's solve the inequality step-by-step:
Given inequality:
[tex]\[ x - 8 > -3 \][/tex]
To isolate [tex]\( x \)[/tex], we need to get rid of the [tex]\(-8\)[/tex] on the left side of the inequality. We can do this by adding [tex]\( 8 \)[/tex] to both sides of the inequality.
Adding [tex]\( 8 \)[/tex] to both sides:
[tex]\[ x - 8 + 8 > -3 + 8 \][/tex]
Simplify both sides:
[tex]\[ x > 5 \][/tex]
Thus, the solution to the inequality [tex]\( x - 8 > -3 \)[/tex] is:
[tex]\[ x > 5 \][/tex]
So, the correct answer is:
D. [tex]\( x > 5 \)[/tex]
