Absolute Value Equations
Solve and Graph Inequalities
Absolute Value Inequalities
1
Solve for x.
Remember Absolute Value Equations should have 2 answers!
abs(2x+9)=15
x=(-12,3)
1
When shading the solution below, would you shade to the LEFT or to the RIGHT?
x>=4
to the Right
1
You must flip and change what in the second equation when solving Absolute Value Inequalities.
Flip - the inequality symbol
Change - the sign of the number after the inequality symbol
2
Solve for x.
Remember Absolute Value Equations should have 2 answers!
abs(8-4x)=16
x=(-2,6)
2
Solve.
s-10<=1
s<=11
2
Solve.
abs(2w-1)<11
-5<w<6
3
Solve for v.
Remember Absolute Value Equations should have 2 answers!
abs(v+8)-5=2
v=(-15,-1)
3
Solve the inequality.
x+4<4
x<0
3
When solving absolute value inequalities, which type involves the following symbols?
>, >=
OR
4
Solve.
Remember Absolute Value Equations should have 2 answers!
abs(x-12)-3=11
x=(-2,26)
4
Find the solution to the following inequality.
-6a>=-36
a<=6
4
Solve and Graph.
abs(x+4)>5
5
Solve for r.
Remember Absolute Value Equations should have 2 answers!
-2abs(-2r-4)=-12
r=(-3,-1)
5
What is the solution to the following inequality?
3x-7<2
x<3
5
Solve.
-5abs(4+n)<-15
n> -1 or n< -7