Chapter 4.1 Inequalities

≤ < > ≥ 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

Translate A number y minus 3 is less than -15.3.

Translate A number is at most -10

Tell whether -3 is a solution of each inequality

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.

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

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

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

-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

-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

Homework Page 128 (1-20) all