Final answer:
To solve the inequality -65y + 19 < -2y + 41 for y, we first eliminate y from one side, then isolate y and divide by the coefficient of y. After simplifications, we find the solution is y > -2/9.
Step-by-step explanation:
To solve the inequality for y, we first simplify and isolate y on one side. Let’s start by adding 65y to both sides to eliminate the y on the left:
-65y + 19 + 65y < -2y + 41 + 65y
This simplifies to:
19 < 63y + 41
Next, we subtract 41 from both sides to isolate the term with y:
19 - 41 < 63y
-22 < 63y
Then, we divide both sides by 63 to solve for y:
-22 / 63 < y
y > -22 / 63
Reducing the fraction to its lowest terms:
y > -2 / 9
Note that we do not need to flip the inequality sign because we are dividing by a positive number.
Therefore, the solution to the given inequality is y > -2 / 9.
"Your question is incomplete, probably the complete question/missing part is:"
Solve for y. Reduce any fractions to lowest terms. Don't round your answer, and don't use mixed fractions. -65y+19 < -2y + 41−65y+19<−2y+41