To solve the inequality [tex]\( -6 \leq 17 + p \)[/tex], we need to find what [tex]\( p \)[/tex] is in terms of [tex]\( -6 \)[/tex]. Here are the steps:
1. Start with the given inequality:
[tex]\[
-6 \leq 17 + p
\][/tex]
2. To isolate [tex]\( p \)[/tex], we need to move the constant term (17) from the right side to the left side. To do this, we subtract 17 from both sides of the inequality:
[tex]\[
-6 - 17 \leq 17 + p - 17
\][/tex]
3. Simplify both sides of the inequality:
[tex]\[
-23 \leq p
\][/tex]
Thus, [tex]\( p \)[/tex] must be greater than or equal to [tex]\( -23 \)[/tex].
So, you need to subtract 17 from each side of the inequality to solve it.
