Graphing and Writing Inequalities
True/false statements
Solving Inequalities
Two-Step Inequalities
MORE Two-Step Inequalities
100
When graphing inequalities, which symbols have an OPEN circle?
< Less Than
> Greater Than
100
Is the following value a solution to the inequality?
2x > -6
x = -3
False
100
Solving Inequalities
Solve for x.
4x + 4 < 88 + 3x
What is:
x < 84
100
Solving Inequalities
Solve for x.
4x + 3 < 7
What is:
x < 1
100
Solving Inequalities
Solve the Inequality
2x - 4 < 88
x < 46
200
When graphing inequalities, which inequality symbols have a CLOSED circle?
≤ : Less Than or Equal to
≥ : Greater than or Equal to
200
Is the following a solution to the inequality?
2k + 10 > 30
k > 10
True
200
Solve the Inequality
-2x > 8
What is:
x < 4
200
Solving Inequalities
Solve for x.
2x - 5 > 11
What is:
x > 8
200
x/-30 ≤ 3
x ≥ -90
300
Would 1 be a solution for the inequalities
x > -2
-2x + 5 < 11
True
300
We use an open circle to represent the inequalities < and > ?
True
300
Solve the Inequality
z/3>10 + 2z
-6 > z or z < -6
300
Solving Inequalities
Solve for x.
9x - 1 > 71
What is:
x > 8
300
Solving Inequalities
Solve for x.
5x - 16 ≥ 34
x ≥ 10
400
Is the following inequality graphed correctly?
x > 6
No, the graph shows x ≥ 6
400
If graphing x < 5, we would put an open circle on 5 and shade to the right.
False.
400
Solve the Inequality
-7x < 14 + 7x
x > -1
400
Solve for v.
v/3+14<30
v < 48
400
Solving Inequalities
Solve for x.
-2x + 5 < 13
x > -4
500
Which direction would the graph go:
-20x - 60 > -30x - 25
x > 3.5, to the right
500
-2x < -10x
x > 0
False
500
Write the inequality:
Tara's backpack can hold a maximum weight of 15 pounds. Tara placed 9 pounds of books in her backpack.
How many more pounds Tara can add to her backpack?
What is:
x + 9 ≤ 15
500
Write the Inequaliy
Samuel got a summer job cutting lawns so that he can buy a bike that costs $1200. He buys a lawnmower for $350 and charges $50 for each lawn that he mows. What is the minimum number of lawns he must mow to earn the money he needs to buy the bike?
50x + 350 ≥ 1200
500
Solve the Inequality
-1/2x - 5 < 7
x > -24