Question

-p + 6p ≤ 4 + 6p

Answer 1

Since -p and 6p are like terms, subtract 6p from -p to get 5p.
5p<=4+6p

Move all terms not containing p to the right-hand side of the inequality.
-p<=4

Multiply -p by -1 to get p. and signs switched
p>=4*-1

Can you take it from here?

Answer 2

what does “Move all terms not containing p to the right-hand side of the inequality.” mean and how did you get: -p<=4
?

Answer 3

basically u subtract 6p from both sides
\[5p-6p \leq 4+6p-6p\]
\[5p-6p \leq 4\cancel{+6p-6p}\]
\[5p-6p \leq 4\]
\[-p \leq 4\]