Graphing & Writing Inequalities
Solving Inequalities
Interval Notation & Determining Solutions
Compound Inequalities
Words to Inequalities
100
Graph the inequality x - 9 ≥ -7
What is closed dot from 2 to positive infinity?
100
Solve. 41 + g > 27
What is g>-14?
100
Write in interval notation. -7 ≤ x < 2
[-7, 2)
100
Solve. x - 4 < -7 or 2x ≥ 12
x < -3 or x ≥ 6
100
Translate. A number less than or equal to 32.
x ≤ 32
200
x ≥ 0
200
Solve. -3x > -18
What is w < 6
200
Write in interval notation. x < 4 or x ≥ 7
( - ∞, 4) U [7, ∞)
200
Solve. 2 ≤ x + 4 < 9
-2 ≤ x <5
200
Translate. A number greater than 12.
x > 12
300
Graph this compound inequality -4 < x < 3
What is open dot from -4 to 3 open dot?
300
Solve. 5x + 12 ≤ 42
What is x ≤ 6
300
Write in interval notation. x < -3 or x > 4
(-∞, -3) U (4, ∞)
300
Solve. -16 ≤ -3x - 4 ≤ 2
-2 ≤ x ≤ 4
300
Translate. A minimum of 10.
x ≥ 10
400
x ≤ -2 or x > 2
400
Solve. 6x - 5 < 2x + 11
What is x < 4?
400
Name three solutions to the inequality: x + 10 < 7
Any number less than -3
400
Solve. 2x + 9 > 17 or 5x + 10 < 10
x > 4 or x < 0
400
Translate. A number that is no more than 12.
x ≤ 12
500
Graph the inequality x < 4 or x ≥ 7
What is open dot towards negative infinity or closed dot towards positive infinity
500
Solve. 9x + 2 + 6x ≥ 2 (5x - 4)
What is x ≥ -2?
500
Is 4 a solution to the inequality x > 7. Why or why not?
No, 4 is not greater than 7.
500
Solve. - 2 < 2 (x - 6) ≤ 4
5 < x ≤ 8
500
Translate. A speed limit of 50.
x ≤ 50