Graphing Inequalities
Should the circle be open or closed for the inequality 4 <= x?
Closed
x + 4 < 3
x < -1
2x + 9 > 7
x > -1
x + 3x - 4 < 12
x < 4
Is 4x + 2 = 3 an equation or an inequality?
Equation
Should the circle be open or closed for x > 7?
Open
5x > -10
x> -2
6x - 8 < 10
x < 3
-2(x - 3) > 8
x < -1
What are the differences between equations and inequalities?
Equations have an equals sign and only one solution.
Inequalities have inequality symbols and a solution set.
Which way should you shade the graph? To the right or the left?
-6 < x
To the right
x - 8 < 16
x < 24
x/6 + 7 < 9
x < 12
6(5 - 3x) < 24
x > 1/3
If the solution to an inequality is x > 3, is 3 included in the list of possible solutions?
No.
Which way should the graph be shaded? To the right or the left?
-14 < -x
To the left
x / 6 < -3
x < -18
(x+5)/4 > 12
x > 43
(3x - 7)/2 > 7
x >= 7
When do you need to flip the inequality symbol?
When you multiply or divide by a negative number.
Which way should the graph be shaded? To the right or the left?
-3x < 9
To the right
-7x > 77
x < -11
-5/3 x < -16
x > 48/5
-8(-4x + 2) + 3x < 54
x < 2
What does it mean for the circle on the number line to be open?
An open circle means that the number under the circle is not a possible solution to the inequality.