Question

Solve for n: 5n + 5 ≥ 4
a) n ≥ -1
b) n ≤ -1
c) n > -1
d) n < -1

Answer 1

To solve the inequality 5n + 5 ≥ 4, you subtract 5 from both sides, simplify it to 5n ≥ -1, and then divide by 5 to find n ≥ -0.2, which means the correct option is (a) n ≥ -1.

Step-by-step explanation:

Let's solve the given inequality 5n + 5 ≥ 4 step by step.

1. Subtract 5 from both sides of the inequality:
   5n + 5 - 5 ≥ 4 - 5
2. Simplify both sides:
   5n ≥ -1
3. Divide both sides by 5:
   n ≥ -⅓

This gives us the solution: n ≥ -⅓, which corresponds to option (a) n ≥ -1.