Final answer:
To solve the inequality 5y - 2 ≥ 28, add 2 to both sides to get 5y ≥ 30 and then divide by 5 to find y ≥ 6.
Step-by-step explanation:
The question involves solving an inequality in Mathematics, specifically in algebra, which typically falls under Middle School or High School curriculum depending on the complexity and the educational standards of the region.
To solve the inequality 5y - 2 ≥ 28, we need to isolate the variable y on one side. Let's solve the inequality step by step:
- Add 2 to both sides of the inequality to cancel out the -2 on the left side:
5y - 2 + 2 ≥ 28 + 2
which simplifies to:
5y ≥ 30 - Next, divide both sides of the inequality by 5 to solve for y:
5y / 5 ≥ 30 / 5
which simplifies to:
y ≥ 6
Therefore, any value of y that is greater than or equal to 6 will satisfy the inequality.