1. Chapter 4.1
Inequalities

2. ≤ < > ≥ The symbols than or equal to Is at most Is no more than
is less
than or
equal to
Is at most
Is no more than
<
is less than
Is fewer than
>
is greater
than
Is more . ≥
Is at least
Is no
less than

3. Translate
A number y minus 3 is less than

4. Translate
A number is at most -10

5. Tell whether -3 is a solution of each inequality

6. Graph the Inequality on the # line
1. Draw number line. Label zero and the number where your arrow starts
2. Put a circle on the number.
Open Circle if < or >.
Solid Circle if “or equal to” ≤or≥.
3. Draw your solution graph line in the same direction as the inequality IF the “x” is on left.

7. Ex 2: Graph the solution of x > -2-6 -4 6 4 2

8. Ex 3: Graph the solution of x  -2 If you have ≤ or ≥ you draw a closed circle-6 -4 6 4 2

9. Hint: When graphing make sure your variable is on the left side
5 < x
To make sure the graph is correct switch the variable and number and flip the inequality.
x>5
Now graph it

10. -2 -6 -4 6 4 2
Ex 4: This is the graph of: 1) x  -2 2) x > -2 3) x  -2 4) x < -2

11. -2 -6 -4 6 4 2
Ex 5: This is the graph of: 1) x  1 2) x > -1 3) x  -1 4) x > 1

12. Homework
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