Inequality -> Interval Notation
x>3
(3,∞)
“All x values greater than 2”
(2,∞)
(1,∞)
x>1
2x−4>6
(5,∞)
To apply for this job, you must be at least 16 years old.
x≥16
x≤−2
(−∞,−2]
“x is less than or equal to -1”
(−∞,−1]
(−∞,0]
x≤0
3x+5≤11
(−∞,2]
The fish in a tank survive only if the water temperature stays below 30°C.
T<30
t≥5
[5,∞)
“x is between -3 and 4, including -3”
[−3,4)
[2,5)
2≤x<5
5−2x≥9
(−∞,−2]
You must drive at or below 65 mph on the highway.
s≤65
a<0
(−∞,0)
“x is greater than -5 and less than or equal to 0”
(−5,0]
(−3,7]
−3<x≤7
4x−7<9x+3
(−∞,−2)
During exercise, your heart rate should stay between 120 and 160 beats per minute, inclusive.
120≤h≤160
−4≤n<2
[−4,2)
“x is less than -2 or greater than 3”
(−∞,−2)∪(3,∞)
(−∞,−4)∪(6,∞)
x<−4 or x>6
6(x−2)≥3x+9
[7,∞)
Pool water is safe when the pH is greater than 7.2 and less than 7.8.
7.2<pH<7.8