Answer: n ≥ 1, see attached for graph
Explanation:
To solve this inequality, we're going to isolate the variable.
Given:
-5n + 6 ≥ -7(5n -6) - 6n
Distribute:
-5n + 6 ≥ -35n + 42 - 6n
Combine like terms:
-5n + 6 ≥ -41n + 42
Subtract 6 from both sides of the equation:
-5n ≥ -41n + 36
Add 41n to both sides of the equation:
36n ≥ 36
Divide both sides of the equation by 1:
n ≥ 1
To graph this inequality, we will first plot a closed circle on 1. Then, we will shade to the right.