1. Inequalities x > a Means x is greater than a
x < b Means x is less than b
x  a Means x is greater than or equal to a
x  a Means x is less than or equal to a
a < x < b Means x lies between a and b

2. Example
Represent each of the following inequalities on the number line
a) x > 3
b) x  1
c) x ≥ -2
d) 1 < x < 3
e) -2  x < 0
f) x < -3, x ≥ -1 1 2 3 4 5 6 7 -1 -2 -3 -4 -5 -6 -7 x

3. x x x x x Example Write down the inequality for each of the followingb) c) d) e) 1 2 3 4 5 6 7 -1 -2 -3 -4 -5 -6 -7 x 1 2 3 4 5 6 7 -1 -2 -3 -4 -5 -6 -7 x 1 2 3 4 5 6 7 -1 -2 -3 -4 -5 -6 -7 x 1 2 3 4 5 6 7 -1 -2 -3 -4 -5 -6 -7 x 1 2 3 4 5 6 7 -1 -2 -3 -4 -5 -6 -7 x

4. Solving Inequalities
Example Solve each of the following inequalities a) b) c) d) e)

5. Solving Inequalities
Example Solve each of the following inequalities a) b) c) d) e)

6. Solving Inequalities
Example Solve each of the following inequalities a) b) c) d) e)