One-Step Inequalities
Two-Step Inequalities
Compound Inequalities
True/false statements
Absolute Value Evaluating, Equations, &Inequalities
100
Solve for x.
2x > 8
x > 4
100
True or False
When solving inequalities, flip the sign when multiplying both sides by a negative. Do not flip the sign when dividing both sides by a negative.
FALSE!!!!!
Flip the sign when multiplying or dividing both sides by a negative.
100
Solving Inequalities
4 < f + 6 < 5
What is:
-2 < f < -1
100
When solving absolute value equations and inequalities, you must first ISOLATE the absolute value. In other words, get the absolute value by itself.
True.
100
Solve:
|x - 4 | < 4
What is
0 < x < 8
x>0 AND x<8
200
Solve
X + 4 < -88
X < -92
200
Solving Inequalities
Solve for x.
2x - 5 > - 11
x > -3
200
Graph the inequality:
200
True or False?
-4 is included in the solution of
x > -20.
True.
-4 is greater than -20.
- 4 > -20
200
Solve:
3|c - 2| > 6
c < 0 OR C > 4
300
True or False:
Two 12-inch pizzas have more pizza than a 17-inch pizza.
False!
Two 12-inch pizzas are one square inch smaller than a 17-inch pizza.
300
True or False:
Michigan is larger than Great Britain.
True!
The area of Great Britain is about 94,226 square miles, including land and water. The area of Michigan is 96,716 square miles, including land and water.
300
Graph the inequality:
0<=x<3
300
True or false:
If the variable is getting pointed to, shade right.
False.
If the variable is getting pointed to, shade left.
300
Evaluate the following absolute value expression:
| -4 + 6 - 13| - 4 = ?
7
400
z/30>70
Solve the Inequality
z > 2,100
400
Is the 3 included in the solution to this inequality?
-9x + 1 > -71
Yes, because x must be less than 8.
400
Solve
-3p + 1 < -11 OR p + 4 < 6
p > 4 OR p < 2
400
True or False:
We use a closed circle to represent the inequalities < and >.
False
400
|2y - 9 | = 1
y = 5
y = 4
500
Solve the Inequality:
x-20 le -58
x le -38
500
Solve the inequality
11 < 2 - 3x
x < -3
or
-3 > x
500
-12 < -3x + 6 < -6
6 > x > 4
500
True or False:
Pottery existed before people with blue eyes existed.
True.
A 2008 study traced the gene for blue eyes to a person who lived 10,000 years ago. Some of the world's oldest pieces of pottery date back to 20,000 years ago.
500
Evaluate
-abs(-21)
-21