Certainly! Let's solve the inequality step-by-step:
Given the inequality:
[tex]\[ k + 6 > -37 \][/tex]
Step 1: Isolate the variable [tex]\( k \)[/tex].
To isolate [tex]\( k \)[/tex], we need to get rid of the constant term on the left-hand side of the inequality. We can do this by subtracting 6 from both sides of the inequality.
Subtract 6 from both sides:
[tex]\[ k + 6 - 6 > -37 - 6 \][/tex]
This simplifies to:
[tex]\[ k > -43 \][/tex]
Step 2: Interpret the result.
The simplified inequality tells us that [tex]\( k \)[/tex] must be greater than [tex]\(-43\)[/tex].
Conclusion:
The correct answer is:
[tex]\[ \boxed{A) \, k > -43} \][/tex]
