| Absolute values | Compound inequalities | Quadratic inequalities | Polynomial inequalities |
|---|---|---|---|
|
(-5,5]
What is 1*1≤ 5?
|
(-∞,-3]U (3,∞)
What is x≤ -3 or x>3?
|
(-∞,-3)U(6,∞)
x^ 2-3x-18>0?
|
Critical points: -1,4,-2
(-∞,-2)U(-1,4)
x^3-x^2-10x-8<0?
|
|
n<10 and n>-10
(-10, 10)
Absolute value of n/5<5?
|
[-3,3]
What is -3≤x≤3?
|
[-10,3]
x^2+7x-30≤0?
|
Critical points: 3/2,-2,4
(-2,3/2)U(4,∞)
-2x^3+7x^2+10x-24<0?
|
|
n<8 and n>-4
(-4,8)
-4+ absolute value of -2+n <2?
|
(-∞,-5)U(1,∞)
What is -8r≥40 or r-4>-3?
|
(-∞,0]U[3,∞)
3x^2- 9x>0?
|
Critical points: 0,-1
(-∞,0]
x^3+2x^2≤-x?
|
|
(-3,7)
What is absolute value of 2x-4 < 10?
|
(-10,-5)
What is 40<10-6n<70?
|
(-∞,3)U(3,∞)
x^2-6x+9>0?
|
Critical points: 0,6,8
(6,8)
x^4-14x^3+48x^2<0?
|
|
[-1/3, -1/9]
what is 9m+ 2 ≤ 1?
|
[1,13]
What is -3b-4≤ 9-4b≤ 4b+1?
|
(-∞,-3]U[5,∞)
2x^2-4x-30≥0?
|
Critical points: -2/5
(-∞,-2/5]
125x^3+8≤0?
|
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