Question 28 on the MAT0020/24C Beginning Algebra State Exam

Solving a Linear Inequality

Solution:  Solve the inequality: 

The first step is to get the variables on the same side.  Since this is an inequality it is preferred to have the variables on the left side because inequalities are generally written with the variable on the left so they are easier to read.

The next step is to solve for x.  Remember if both sides of an inequality is multiplied or divided by a negative, the inequality changes from less than to greater than or from greater than to less than.

The solution is: 

Note:  This solution can be checked if you substitute a value that is  such as 0 into the original equation.

Practice Problems for Question 28

Solving a Linear Inequality

Solutions Below

1.  Solve the inequality:                                                                            

a.                    b.                    c.                       d.   

2.  Solve the inequality:                                                                           

a.                   b.                     c.                      d. 

3.  Solve the inequality:                                                                                 

a.                  b.                  c.                     d. 

4.  Solve the inequality:                                                                                

a.                     b.                  c.                     d. 

Solutions:

1.  c                 2.  d                      3.  c                         4.  b