In the last lesson, you saw how to directly compare two numbers, and see if a comparison was

`true`

or `false`

.
In this lesson, we'll further explore this comparison, but instead of literal numbers, see how variables and even full mathematical expressions
can be included in comparison questions---all with `true`

or `false`

answers.

`print`

, try displaying the `true`

or `false`

answers to the bullet-list questions, using the pre-defined variables in the code.
Type your code here:

See your results here:

This code will generally not run, as there is nothing inside of the

`(`

and `)`

of the `print`

statement. Try displaying the result
of the following comparisons (using the variables a,b,c,d and x) using the `print`

statement:
- Is $\pi^2$ < 10?$ (hint:
`print(math.pi^2 < 10)`

) - Is $b^2>b$?
- Is $\pi^2 > a$?
- Is $a+b == b+a$?
- Is $b-a > 0$?
- Is $a-a=0$?
- Is $ab+0 == ab$?
- Is $1*a == a$?
- Is $0+a==a$?
- Is $(a+b)(a-b)==a^2-b^2$?
- Is $(a+b)(a+b)==a^2+2ab+b^2$?
- If $a>c$ and $c>d$ then is $a>d$ (use 3
`print`

statements for this one)? - If $a>b$ then is $1/a>1/b$?
- Is $e^x>1+x$ for any value of $x$? (Hint: $e^x$ is
`math.exp(x)`

in computer programming). - Is $x^x\ge\left(\frac{1}{e}\right)^\frac{1}{e}$ for any value of $x$?
- Is $a^a+b^a\ge a^b+b^a$?
- Is $(1+x)^r\ge 1+rx$ (for any number $r$)?

`2*a*b`

.
Dismiss.
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