Solving Linear Inequalities (one variable)

 

 

 

E1 Solve the inequality and graph the solution . Write solution in different forms.

Number line

 

     

Set builder notation:

 

 

 

E2 Solve the inequality and graph the solution . Write solution in different forms.

Number line

Interval Notation:

   

Set builder notation:

 

 

 

E3 Solve the inequality.  . Write solution in different forms.

Number line

Interval Notation:

   

Set builder notation:

 

 

The union of a set A and set B, written

, is the set of elements that belong to either set A or set B.

 

The intersection of a set A and set B, written  , is the set of elements that are common to both set A and set B.

 

E4 Given set A and B, find  and.

A={-6,-4,-2},B={-8,-4,-2,0,10}

 

 

 

 

E5 Solve the compound inequality and give the solution in different forms (Number Line, Interval Notation, and Set Builder Notation).

a)

 

Number line

Interval Notation:

   

Set builder notation:

 

 

b)

Number line

Interval Notation:

   

Set builder notation:

 

 

E6 Solve the compound inequality and give the solution in different forms (Number Line, Interval Notation, and Set Builder Notation).

a)

Number line

Interval Notation:

   

Set builder notation:

 

 

b)

Number line

Interval Notation:

    

Set builder notation:

 

 

E7 Solve the inequality and give the solution set in different forms (Number Line, Interval Notation, and Set Builder Notation).

 

Number line

Interval Notation:

   

Set builder notation: