Can anyone solve this rational inequality
y-3/5 < y+2/10
To solve the rational inequality (y - 3)/5 < (y + 2)/10, you can follow these steps:
Step 1: Clear the denominators by multiplying both sides of the inequality by the least common multiple (LCM) of the denominators. In this case, the LCM of 5 and 10 is 10. Multiply both sides by 10:
10 * [(y - 3)/5] < 10 * [(y + 2)/10]
2(y - 3) < y + 2
Step 2: Distribute the 2 on the left side of the inequality:
2y - 6 < y + 2
Step 3: Move the variable terms to one side of the inequality by subtracting y from both sides:
2y - y < 2 + 6
y < 8
Step 4: State the solution. The solution to the inequality is:
y < 8