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Level 218

Compound Inequalities


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-3 > n ≥ 5
all real numbers that are less than -3 or greater than or equal to 5.
x > 25 and x < 30
The time a cake must bake is between 25 minutes and 30 minutes, inclusive.
-5 < x < 7
all real numbers that are between -5 and 7.
28.5 ≤ x ≤ 29
The circumference of a women's basketball must be between 28.5 in. and 29 in., inclusive.
-4 ≤ x < 6
all real numbers that are greater than or equal to -4 and less than 6.
7 < k < 13
5 < k - 2 < 11
-6 > y > -12
-4 > y + 2 > -10
b ≤ 7 or b ≥ 5
6b - 1 ≤ 41 or 2b + 1 ≥ 11
[-4, 3)
-4 ≤ x < 3
(10, 15)
-10 < x < 15
(-2, 6]
-2 < x ≤ 6
(-∞, -2)
x < -2
(0, ∞)
x > 0
(-2, 1]
x < -2 or x ≥ 1
x < 6 or x > 15
x is greater than 15 or less than 6
5 < x < 15
x is greater than 6 and less than 15
6 <= x <= 15
x is at most 15 and at least 6
x <= 6 or x >= 15
x is at least 15 or at most 6
-2 < x < 2
3x + 5 > -1 and 4x - 7 < 1
4 < x < 14
To play on the playground equipment the child has to be older than 4 and younger than 14
4 <= x <= 14
The minimum objects to participate in the Halloween party is 4 and the maximum objects is 14
x < 4 or x > 14
The Halloween object shorter than 4cm or longer than 14cm
x <= -20 or x >= 85
The extreme weather is colder than -20C or hotter than 85C inclusive.
x < -3 or x > 7
4x + 17 < 5 or -3x + 2 < -19
What must be true about an AND inequalities?
Both set of numbers of the inequalities are true.
What must be true about an OR inequalities?
Only one of the set of the numbers of the inequalities is true.
44 < x < 71
The speed limit on the freeways in California the car must exceed 44 mph and not exceed 71 mph.