Answer:
The inequality that you have is 
. You can use mathematical induction as follows:
Step-by-step explanation:
For 
we have:
Hence, we have that 
Now suppose that the inequality holds for 
and let's proof that the same holds for 
. In fact,
Where the last inequality holds by the induction hypothesis.Then,
Then, the inequality is True whenever 
.
Answer:
a + b ≥ 40
a + 5 ≤ b
2.50a + 1.50b ≤ 105
Step-by-step explanation:
We are told she would like to have at least 40 cupcakes and cookies combined.
If a is number of cupcakes and b is number of cookies, then this inequality is;
a + b ≥ 40
Secondly, we are told she would like to have at most 5 more cupcakes than cookies.
Thus, the inequality is;
a + 5 ≤ b
Lastly, we are told that cupcakes sell for $2.50 and cookies for $1.50
Thus, the inequality is;
2.50a + 1.50b ≤ 105
Finally, the 3 inequalities are;
a + b ≥ 40
a + 5 ≤ b
2.50a + 1.50b ≤ 105
Answer:
Step-by-step explanation:
I think it's B
2g - 2h = b + 4
2g = b + 4 + 2h
g = (b + 4 + 2h) / 2
U should add a picture to solve it
