Translate into inequality
Twice as much as x is greater than four.
2x > 4
Write all integers that belong to the intervals (−4, 5)
−3, −2, −1, 0, 1, 2, 3, 4
Inequality : −2 ≤ x≤ 6
Interval notation : [ −2, 6 ]
Interval notation :
( −12, ∞ )
Inequality : x> −12
z is no greater than 3 and less than 2.
It is possible .
Five is less than half of x.
5 < 0.5x
Write all integers that belong to the intervals [−1, 1]
−1, 0, 1
Inequality : x> −1
Interval notation : ( −1, ∞ )
Interval notation :
( −∞, 21 ]
Inequality : x≤ 21
z is no greater and no less than 1.
It is possible .
x could be any value from 2 to 18.
2 ≤ x ≤ 18
Find the largest integer which belongs to the following interval [−12, −9]
−9
Inequality : −1 < x< 7
Interval notation : ( −1, 7 )
Interval notation :
( −7, 17 ]
Inequality : −7< x ≤ 17
z is an integer less than 4 and greater than 3.
It is impossible
x is 4 greater than 12.
x=12+4
x = 16
Find the largest integer which belongs to the following interval: [−1, 17)
16
Inequality : x≤ 4
Interval notation : ( − ∞, 4 ]
Interval notation :
[ −1, 1 ]
Inequality : −1 ≤ x≤ 1
z is at least 7 and more than 6.
It is possible .
The average of x and 6 is less than 12.
0.5x + 3 < 12
Does 1.98 belong to the interval (− ∞ ; 2)? Find two numbers greater than 1.98 that belong to the interval.
1.98∈ (− ∞, 2)
1.981, 1.982, 1.983,..., 1.989 ETC.
Inequality: 0.5< x ≤ 1.7
Interval notation : (0.5, 1.7 ]
Interval notation :
( −2020, ∞ )
Inequality : x>−2020
Find the greatest number that belongs to the interval (− ∞ ; 2)?
It is impossible