Graphing and Writing Inequalities
When graphing inequalities, which symbols have an OPEN circle?
< Less Than
> Greater Than
Is the statement true
2x > -6
x = -3
False
Solving Inequalities
Solve for x.
2x > 8
What is:
x > 4
Solving Inequalities
Solve for x.
4x + 3 < 7
What is:
x < 1
Solve for x. Sketch the number line.
12< -5x-3 or -5x-3< -23
x< -3 or x>4
When graphing inequalities, which inequality symbols have a CLOSED circle?
≤ : Less Than or Equal to
≥ : Greater than or Equal to
Is the statement true?
2k + 10 > 30
k > 10
True
Solve the Inequality
x + 4 < 88
What is:
x < 84
Solving Inequalities
Solve for x.
2x - 5 > 11
What is:
x > 8
-x-8 < -13 and -19 < -x-8
5<x<11
Which direction do we shade for x < -3 ?
What is
Left
We use an open circle to represent the inequalities < and > ?
True
Solve the Inequality
z/3>7
z > 21
Solving Inequalities
Solve for x.
5b<= 3(b-4)
What is:
x<= -10
Solving Inequalities
Solve for x.
17< -x+10 or 0>= -x+10
x<-7 or x>= 10
Tell whether -6 is a solution of the inequality.
10<3-m
no
If graphing x < 5, we would put an open circle on 5 and shade to the right.
False.
Solve the Inequality
-12b> -3(3b-15)
b< -15
Solve for v.
v/3+14<30
v < 48
Solve the Inequality
6<= -3x+3 or -24> -3x+3
x<= -1 or x>9
4x-25>-2
no
False
Solve the Equation:
-n/2+5 > 17
What is:
n < - 24
Inequalities
3x-5>4x+5
x<-10
Solve the Inequality
-4x+6 <= -26 and -34<= -4x+6
8<=x<=10