One-Step Inequalities
x – 4 ≥ 10
x ≥ 14
2x + 1 < 7
x < 3
3x - 6 + 6x > 75
x > 9
Graph x > 4.
Then determine the interval notation.
(4, infinity)
Your essay must be at least 5 pages long
p ≥ 5
6 + x > –3
x > – 9
4 - 6x ≤ 28
x ≥ -4
5x - 7 ≤ 3x + 9
x ≤ 8
Graph x < -3.
Then determine the interval notation.
(negative infinity, -3)
John can spend at most $45
s ≤ $45
2x ≤ 16
x ≤ 8
−3x − 8 ≥ −2
x ≤ −2
7x -2(x + 2) < 16
x < 4
Graph x ≤ 8.
Then determine the interval notation.
(negative infinity, 8]
7 is greater than a number and 2
7 > n + 2
x/4 < 8
x < 32
(1/2)x + 9 < 4
x < -10
-10x + 2 ≥ -8(x + 4)
x ≤ 17
Graph x ≥ -1
Then determine the interval notation.
[-1, infinity)
Three times a number n is fewer than 12
3n < 12
(-1/3)x > 4
x < -12
16 - (3/4)x > 16
x < 0
2(x + 10) < -4(x + 4)
x < -6
Graph 5 ≥ x
Then determine the interval notation.
Felix needs to score a minimum of 80 points on his exam
p ≥ 80