Inequalities and Their Graphs
Graph the inequality: x > 5
Graph: open dot with arrow going right
Solve: v - 6 < 4
v < 10
Solve: 3x + 4 < 19
x < 5
Solve: 5v - 2v < 9
v < 3
A number that is less than 4
x < 4
Graph the inequality: h ≤ -1
Graph: closed dot with arrow going left
Solve: -4 < t + 8
-12 < t or t > -12
Solve: 7x + 2 ≤ -19
x ≤ -3
Solve: 88 < 2(8+6n)
n > 6 or 6 < n
A number that is more than 10
x > 10
Graph the inequality for x < -2
Graph: open dot with arrow going left
Solve: -20 ≤ 5y
-4 ≤ y or y ≥ -4
Solve: -4k - 1 ≥ -9
k ≤ 2
Solve: -7m + 8 > 1 - 8m
m > -7 or -7 < m
A number that is no more than 1
x ≤ 1
Graph the inequality: 10 ≥ p
Graph: closed dot with arrow going left
Solve: -5x < 15
x > -3
Solve: 45 > -5f + 10
f < -7
Solve: -(3v + 2) < -3v - 2
No Solution
A number that is at least 5
x ≥ 5
Graph the inequality for 5 < k
Graph: open dot with arrow going right
Solve: h/-2 > 3
h < -6
Solve: - ½n - 3 ≥ 6
n ≤ -18
Solve: 7n - 6(n + 7) < -5n + 6(-8 + 2n)
n > 1 or 1 < n
A minimum number of 3
x ≥ 3