Graphing and Writing Inequalities
True/false statements
One-Step Inequalities
Two-Step Inequalities
Multi-step Inequalities
100
When graphing inequalities, which symbols have an OPEN circle?
< Less Than
> Greater Than
100
Is the statement true
2X > 3
X = -3
False
100
Solving Inequalities
Solve for x.
2x > 8
What is:
x > 4
100
Solving Inequalities
Solve for x.
4x + 3 < 7
What is:
x < 1
100
Solving Inequalities
-3-24x+36>-111
What is:
x<3
200
When graphing inequalities, which inequality symbols have a CLOSED circle?
≤ : Less Than or Equal to
≥ : Greater than or Equal to
200
Is the statement true?
-2K + 30 > -10
K = -20
False
200
Solve the Inequality
X + 4 < -88
What is:
X < -92
200
Solving Inequalities
Solve for x.
2x - 5 > - 11
What is:
x > -3
200
Solve the inequality
6-4(6n+7)> 122
n < -6
300
Which direction do we shade for -3 > x ?
What is
Left
300
We use an open circle to represent the inequalities < and > ?
True
300
Solve the Inequality
z/30 > 70
(z divided by 30)
z > 2,100
300
Solving Inequalities
Solve for x.
-9x + 1 > -71
What is:
x > -8
300
Solve
5(6+3r)+7>127
r>6
400
Is the following inequality graphed correctly?
x < 6
No, the graph shows x > -6
400
If graphing 5>x, we would put an open circle on 5 and shade to the right.
False.
400
Solve the Inequality
-4x < 14
What is:
x > -7/2 OR x > -3.5
(Negative 7 over 2)
400
Solve for v.
v/3 + 14 < 30
v < 48
400
Solve an Inequality
167 < 6+7(2-7r)
r<-3
500
What are these symbols called:
< , ≤ , > , ≥?
What is
Inequalities
500
The inequality 2x−3≥7 has the same solution set as the inequality 2x≥10.
TRUE
500
Solve the Equation:
f - 9 < -58
What is:
f < -49
500
A construction company estimates its costs using the equation 12,000 + 250x = C, where C is the total cost in dollars and x is the number of days to complete a project. They must complete the project within a budget of $20,000 or less. Write and solve an inequality to determine the maximum number of days they can work while staying within budget. Explain your answer in a full sentence.
12,000 + 250x ≤ 20,000
x ≤ 32
They need to complete the job in 32 days or less.
500
A student solves the inequality 5(3x−2)≤4x+18 and ends up with the solution x≥6. Upon reviewing their work, you find that they made an error. Identify and explain the mistake, then solve the inequality correctly.
Error in distributing.
Answer was x≤3