To solve the inequality np < 5 + 4c – 2, let’s simplify and isolate n.
1. Start by simplifying the right side of the inequality:
5 + 4c – 2 = 3 + 4c
Now the inequality looks like this:
np < 3 + 4c
2. Next, isolate n by dividing both sides by p (assuming p is not zero):
n < (3 + 4c) / p
3. Thus, we have expressed n in terms of c and p. The solution to the inequality requires that:
n must be less than (3 + 4c) divided by p.
4. If you have specific values for c and p, you can substitute those into the expression to find the numerical bounds for n.
5. Finally, keep in mind that the solution indicates all possible values of n that satisfy the inequality, which forms a range based on your values for c and p.
This approach allows you to clearly understand how n relates to the other variables in the inequality.