Answer
No solution
Work Step by Step
$-5r+6\leq-5(r+2)\longrightarrow$ multiply using the distributive property
$-5r+6\leq-5r-10\longrightarrow$ add 5r to each side
$-5r+6+5r\leq-5r-10+5r\longrightarrow$ add
$6\leq-10$
Since 6 is not less than or equal to -10, there is no solution.