
If you can solve a linear equation, you can solve a linear inequality. The process is the same, with one exception ...

... when you multiply (or divide) an inequality by a negative value,
you must change the direction of the inequality. 

While you should be aware of the exception mentioned above, this web page on onestep inequalities will NOT be multiplying or dividing by negative values. 
Let's compare solving an equation with solving an inequality:
The process of adding or subtracting to solve for the variable x is the same when solving equations and inequalities.
Equation: Solve for x:
x + 3 = 5
Solution: Subtract 3 from both sides.

Inequality: Solve for x:
x + 3 < 5
Solution: Subtract 3 from both sides.

The process of multiplying or dividing to solve for the variable x is the same when solving equations and inequalities, for multiplying or dividing by a positive value.
(The "exception" stated above would come into play if multiplying or dividing by a negative value.)
Equation: Solve for x:
5 x = 35
Solution: Divide both sides by 5.

Inequality: Solve for x:
5 x > 35
Solution: Divide both sides by 5.

Solve for x:


Solve for x:


Given the inequality, 8x < 24, which choice represents the values that will make this inequality true?
A x > 3 B x < 3 C x < 16 D x > 3


What number is not part of the solution set to the inequality b  12 < 23?
A 18 B 24 C 34 D 36

