Real Numbers
−81
Integer, Rational, Real
|2x − 5| = −3
no solution
−2 ≤ 3x + 1 ≤ 10
[−1, 3]
|x − 2| ≤ 5
[−3, 7]
What is the smallest prime number that is also a palindrome?
2
√18/3
√2 Irrational, Real
|3x − 5| = 4
x = 3, 1/3
5 < 2x − 1 ≤ 11
(3, 6]
|2x + 1| > 7
(−∞, −4) ∪ (3, ∞)
How can you lift an elephant with one hand?
you can't
True or False: The sum of two irrational numbers is always irrational.
False
|3x + 4| = 2x + 1
x = −1
−4 ≤ −2x + 6 < 8
(−1, 5]
|3x − 4| − 2 ≤ 10
[−8/3, 16/3]
Which country has the most time zones (including overseas territories)?
France
The sum of a rational number and an irrational number is irrational.
True
|5 − 2x| = 3x − 1
x = 6/5
−8 < −4(2x − 3) ≤ 0
[3/2, 5/2)
|2x + 1| < 3 − x
−4/3 < x < 2/3
If you drop a yellow hat in the Red Sea, what does it become?
Wet
There exists a rational number between any two irrational numbers.
True
|x − 4| = 2x + 5
x = −1/3
1 ≤ (2x − 3)/5 ≤ 4
[4, 23/2]
|3x + 2| > 5x
x < −1 or x > 2
What do you call a fish with no eyes?
Fish