Inequality Basics
Solving Inequalities
Inequality graphs
Inequality Misc.
Review Topics
100
If the inequality symbol is < or ≤ you shade ____________.
below
100
Solve: 4x – 7 ≥ 21
x >= 7
100
Graph the inequality
x<=2
100
Is (-1, 5) a solution to the system
{(2x,+,y,<=,3),(x,+,2y,>,5):}
yes
200
If the inequality symbol is > or < the line is ____________.
dashed
200
Solve for t.
6t + 4 ≤ –2
t <= -1
200
Write the inequality for the given graph.
y <= 2/5 x +1
200
Is (-2,-3) a solution to the system
{(2x,+,y,<=,3),(x,-,y,>,5):}
No
300
When graphing
y >= 1/9x + 4
you will draw what type of line and shade where?
Solid Line and shade above the line
300
If 5h + g > 15, solve for g.
g > 15 - 5h
300
Write the inequality for the given graph?
y >= -5/4x + 3
300
Solve and graph the solution
x<3
300
A bakery has only 150 pounds of flour to make cookies and cakes for the day. It requires 2 pounds of flour to make an order cookie of and 3 pounds of flour to make a cake. Let x represent the number of cookies and y represent the number of cakes ordered during the day. Can the bakery make 35 orders of cookies and 27 orders or cakes? How do you know?
No. doesn't satisfy
2x+3y<=150
2(35)+3(27) is greater than 150
400
Tina solved the following inequality for x below.
1 – 3x ≤ 13
–3x ≤ 12
x ≤ -4
What mistake did Tina make solving the inequality?
Tina forgot to flip the inequality sign.
400
Find the solution set of the inequality below:
25 – 4x > –7
x < 8
400
Graph the inequality
3x – 2y < 10
400
The DJ charges $125 per hour in addition to $55 for an assistant. Linda wants to keep the total cost under $600. Write an inequality that represents the maximum amount of hours the DJ will play at the dance?
125x + 55 <600
400
Tom sells PCs and laptops at a department store. He earns $20 for every PC and $25 for every laptop he sells. At the end of the week, he needs to earn at least $700. If he already sold 13 PCs during the week, and x represents the number of laptops sold write an inequality that represents the number of laptops Tom could sell to meet his goal?
260 + 25x >= 700
500
For what value of b is a = 3 a solution to ab - 11 > 7?
b < 0 b > 2
b > 6 b > 7
b > 6
500
Name the x- and y-intercepts for the equation:
2x - y = 6
x-int: (3, 0)
y-int: (0, -6)
500
According to the graph, which point(s) is a solution? Choose all that apply.
(0, 0) (4, 2) (-1, -5) (-3, 0)
(0, 0) and (4, 2)
500
A bakery has only 150 pounds of flour to make cookies and cakes for the day. It requires 2 pounds of flour to make an order of cookies and 3 pounds of flour to make a cake. Let x represent the number of cookies and y represent the number of cakes ordered during the day. Write an inequality to represent the situation.
2x + 3y <= 150
500
Tracy has $65 and she wants to use some of the money to buy some bracelets. She wants to have at least $12 left. Each bracelet costs $7. Write an inequality to determine how many bracelets she can buy?
65 - 7x >= 12