Step 1: Isolate the term with y. Subtract 14 from both sides.
5y + 14 - 14 ≥ 11 - 14
5y ≥ -3
Step 2: Solve for y. Divide both sides by 5.
y ≥ -3/5
Answer: y ≥ -3/5
This is a linear inequality. We can solve it using the same methods as for a linear equation.
The inequality is: 5y + 14 ≥ 11
1. Subtract 14 from both sides to isolate the term with `y`:
5y + 14 - 14 ≥ 11 - 14
5y ≥ -3
2. Divide both sides by 5 to solve for `y`. Since we are dividing by a positive number (5), the inequality sign does not change direction.
y ≥ -3/5
The solution can also be written as y ≥ -0.6.