Graphing and Writing Inequalities
Solutions
Two-Step Inequalities
Compound Inequalities (x2)
Absolute Value Inequalities (x2)
100
When graphing inequalities, which symbols have an OPEN circle?
< Less Than
> Greater Than
100
True or False? If graphing x < 5, we would put an open circle on 5 and shade to the right.
False.
100
Solve and graph
4x + 3 < 7
x < 1
100
Solve and graph
x + 5 > 12 OR x/9 < 0
x > 7 OR x < 0
100
Solve and graph
|x| + 7 < 16
x < 9
x > -9
200
When graphing inequalities, which inequality symbols have a CLOSED circle?
≤ : Less Than or Equal to
≥ : Greater than or Equal to
200
True or False?
-2 < x
x = -3
False
200
Solve and graph
-2x + 5 < 13
x > -4
200
Solve and graph
-1 < 9 + n < 17
-10 < x < 8
(x > -10)
200
Solve and graph
|6x| < -42
x < -7
x > 7
300
Which direction do we shade for x < -3 ?
Left
300
True or False?
2x > -6
x = -3
False
300
Solve.
v/3+14<30
v < 48
300
Solve.
-4 ≤ 3x + 2 < 5
-2 < x < 1
(x > -2)
300
|x + 5| < 9
x < 4
x > -14
400
Is the following inequality graphed correctly?
x < 6
No, the graph shows x > -6
400
True or False?
2k + 10 > 30
k = 10
True
400
Solve.
-9x - 1 > 71
x < -8
400
Solve.
2h – 19 < – 11 OR h + 7 > 12
h < 4 OR h > 5
400
|2x - 4| + 5 < 11
x < 5
x > -1
500
What are these symbols called:
< , ≤ , > , ≥?
(The answers are not less then, greater then, etc.)
Inequalities
500
True or False?
3(x - 4) < -8
x = -4
True
500
Solve.
-1/2x - 5 < 7
x > -24
500
–94 ≤ m ≤ 34
500
-2|5y - 3| > -12
