Algebra 1: Common Core (15th Edition)

5a. no solution 5b. $8\geq2$ or $0\geq-6$
$9+5n\leq5n-1$ 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