Solve the inequality y−5(y+1)≥2y−5 and write the solution in interval notation.

Answer 1

y-5y-5 >2y-5

y-5y >2y

-4y > 2y

-2y > y, divide both sides by y, and you get

-2 > 1, a contradiction

the only solution is y=0, plug that into the original equation and

then -5=-5

in interval notation, y is in the interval [0,0]