If
is an integer, you can use induction. First show the inequality holds for
. You have
, which is true.
Now assume this holds in general for
, i.e. that
. We want to prove the statement then must hold for
.
Because
, you have
and this must be greater than
for the statement to be true, so we require
for
. Well this is obviously true, because solving the inequality gives
. So you're done.
If you
is any real number, you can use derivatives to show that
increases monotonically and faster than
.
Answer:
20 bags
Step-by-step explanation:
gift + lunch + (skittles * count) ≤ $21
9.25 + 3.50 + 0.40x ≤ 21
12.75 + 0.40x ≤ 21
0.40x ≤ 8.25
x ≤ 20.625
The negate of this conditional statement as : a∨(∼b).
<h3>What is a expression? What is a mathematical equation? What do you mean by domain and range of a function?</h3>
- A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.
- A mathematical equation is used to equate two expressions. Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.
- For any function y = f(x), Domain is the set of all possible values of [y] that exists for different values of [x]. Range is the set of all values of [x] for which [y] exists.
We have the the following conditional statement -
c ⇒ (a∧∼b)
We can write the negate of this conditional statement as -
a∨(∼b)
Therefore, the negate of this conditional statement as : a∨(∼b).
To solve more questions on Equations, Equation Modelling and Expressions visit the link below -
brainly.com/question/14441381
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