Solving "Simple" Inequalities
Compound Inequalities
Absolute Value Inequalities
Writing Inequalities & Other Stuff
Graphing Inequalities with two variables
100
Solve: x + 8 < -3
x < -11
100
Graph: -2 < x <= 3
See board
100
If an absolute value expression is LESS than a number, is that an "AND" situation or an "OR" situation?
"AND" situation
100
Translate into an inequality: "4 more than a number is less than or equal to 16."
4 + x <= 16
100
Would the boundary line for the graph of 2x - y > -9 be a dashed line or a solid line?
What is dashed?
200
Solve: 14 > 6x - 10
4 > x
200
Solve: 2x - 7 < 13 or x + 8 > 22
x < 10 or x > 14
200
Solve: |x + 3| < 8
-11 < x < 5
200
When do you flip the sign of an inequality?
When you multiply or divide by a negative number
200
Is (-2, 3) a solution to 2x - y > -9?
YES; -7 > -9
300
Solve: -7x + 3 < 45
x > -6
300
Solve: -15 <= -3x + 6 < 3
7 >= x >1
300
Solve: |2x + 5| > 19
x > 7 or x < -12
300
Tracie has at least 57 gumballs in a jar. Write an inequality to represent the situation.
x >= 57
300
Graph x > -4
400
Solve: 9x + 5(3 - 2x) < -11
x > 26
400
Solve: -2x + 11 < 3 or x/3 - 1 < -10
x > 4 or x < -27
400
Solve: |x + 11| - 7 < -3
-15 < x < -7
400
An electrician earns $35 an hour. He wants to earn at least $1500 a week. Which inequality could be solved to determine the number of hours he would need to work?
A) 35h < 1500
B) 35h > 1500
C) 35h <= 1500
D) 35h >= 1500
D
400
Graph: y < x
500
Solve: -3(6 - 2x) > 14 + 8x
-16 > x
500
Solve: -16 < 4(2x - 12) < 24
1 < x < 9
500
Solve: -5|x + 8| > 20
No solution
500
Will needs at least 800 points to be a finalist on a game show. He currently has 640 points with one round to go. Which inequality could be solved to determine the number of points needed in the last round in order for him to be a finalist?
A) 640 + x <= 800
B) 640 + x >= 800
C) x - 800 >= 640
D) 640 + 800 > x
B
500
Graph: 2x + 5y >= -5
y >= -2/5 x - 5
