#### Answer

5a. no solution
5b. $8\geq2$ or $0\geq-6$

#### Work Step by Step

$9+5n\leq5n-1$
Subtract 5n from both sides: $9+5n-5n\leq5n-5n-1$
Simplify: $9\leq-1$
No solution
$8+6x\geq7x+2-x$
Group like terms: $8+6x\geq7x-x+2$
Simplify: $8+6x\geq6x+2$
Subtract 6x from both sides: $8+6x-6x\geq6x-6x+2$
Simplify: $8\geq2$
or
$8+6x\geq7x+2-x$
Group like terms: $8+6x\geq7x-x+2$
Simplify: $8+6x\geq6x+2$
Subtract 8 from both sides: $8-8+6x\geq6x+2-8$
Simplify: $6x\geq6x-6$
Subtract 6x from both sides: $6x-6x\geq6x-6-6x$
Simplify: $0\geq-6$
True for all x