Chapter 6 -3 Inequalities UNIT 3 Chapter 6 -3 Inequalities

Vocabulary A mathematical sentence that contains < or > is called an inequality Write an inequality for each sentence A) Your age is less than 6 year old Let a represent your age a < 6 B) Your height is great than 40 inches Let h represent your height H > 40

Vocabulary In some cases, the inequalities contain ≥ or ≤ symbol Write an inequality for each sentence A) your speed is less than or equal to 45 miles per hour Let s represent speed s ≤ 45 B) Your earnings are greater than or equal to $100. Let e represent earnings e ≥ 100

Concept map Inequalities < > ≤ ≥ Less than Is fewer than Greater than Is more than Exceeds Is less than or greater to Is no more than Is at most Is greater than or equal to Is no less than Is at least

Inequalities Use an inequality Example 1: Your speed is no more than 55 miles per hour Let s = speed s ≤ 55 Example 2: You have saved at least $75.00 Let d = dollars D ≥ 75

Graph inequalities Inequalities can be graphed on a number a line. The graph helps you visualize the values that make the inequality true. Graph the inequality on a number line Example 1: x > 4 Example 2: x ≤ 4 2 3 4 5 6 2 3 4 5 6 * the open circle means that The *The closed circle means that the number 4 number 4 is NOT included in the graph Is included in the graph

Let’s try some examples Write an inequality for the sentence A number X is greater than 10 More than 150 fans attended the game last night Graph the inequality on a number line X > 7 4) G ≥ 15 Write the inequality shown 5) -5 - 4 - 3 -2

Let’s check our Answers! Write an inequality for the sentence A number X is greater than 10 X > 10 More than 150 fans attended the game last night F > 150 Graph the inequality on a number line X > 7 6 7 8 4) G ≥ 15 14 15 16 Write the inequality shown 5) X ≤ -3 -5 - 4 - 3 -2