Intervals
The interval for:
x > 8
(8, ∞)
The graph of
x = 5
| | | | | | | ●
-2 -1 0 1 2 3 4 5
The solution(s) to
-1 < n +1 < 1
-2 < n < 0
The solution(s) to
|x| = 1,000,000
{-1000000, 1000000}
The solution(s) to:
|x| > 12
x > 12 or x < -12
The interval for
-∞ < x < ∞
(-∞, ∞)
The graph of
x < -8
<-------------O
<---|-----|-----|-----|--->
-10 -5 0 5
The solution(s) to:
x + 8 ≥ 9 and x/7 ≤ 1
1 ≤ x ≤ 7
The solution(s) to:
|7 + p| = 7
{0, -14}
The solution(s) to:
|x| + 5 ≥ 11
x ≥ 6 or x ≤ -6
The interval for
-64 < x ≤ -9
(-64, -9]
The graph of
-10 < x < 5
O----------------O
<---|-----|-----|-----|-----|-----|-----|--->
-20 -15 -10 -5 0 5 10
The solution(s) to:
8x + 8 ≥ -64 and -7 - 8x ≥ -79
-9 ≤ x ≤ 9
The solution(s) to:
4|n + 8| = 56
{6, -22}
The solution(s) to:
|x - 4| - 3 < 5
-4 < x < 12
The interval for
x ≥ 11 or x < 2
(-∞,2)U[11, ∞)
The graph of
x ≥ 7 or x < -15
<----------O ●---------->
<---|-----|-----|-----|-----|-----|-----|--->
-20 -15 -10 -5 0 5 10
The solution(s) to:
2n + 7 ≥ 27 or 3 + 3n ≤ 30
n ≥ 10 or n ≤ 9
The solution(s) to:
|54z - 12| = -4
No solution.
The solution(s) to:
9|m - 8| - 10 < 26
4 < m < 12
The interval for
-51/2 ≥ x or x > -7/3
(-∞, -51/2]U(-7/3, ∞)
The graph of
x ≤ 3/4 or x ≥ 7/8
3/4 7/8
<---------------------● ●---------->
<---|--------|--------|--------|--------|--->
0 0.25 0.5 0.75 1
The solution(s) to:
8r - 5 ≥ 6r - 1 or 4 + 4r ≤ 3r - 3
r ≥ 2 or r ≤ -7
The solution(s) to:
2 - 5|5m - 5| = -73
{4, -2}
The solution(s) to:
9|1 + 8n| - 3 ≥ 78
n ≥ 1 or n ≤ -5/4