inequality

An inequality says that two values are not equal.

a ≠ b says that a is not equal to b

There are have special symbols that show below

Example 

Examples 1

Examples 2

Solve 2x - 5 < 12

Solution:

2x - 5 < 12

(2x - 5) + 5 < 12 + 5

2x < 17

(1/2)2x < (1/2)17

x < 17/2

Examples 3

Solve 13 - 3x  10

Solution:

13 - 3x  10

-3x  10 - 13

-3x  -3

(-1/3)(-3x)  (-1/3)(-3) (Recall - rule 5)

x  1

Exercise 1


 Solve the inequality z + 5 ≥ 3 and represent its solutions using a number line. 

Answer

z ≥ -2