Understanding Inequalities Symbol: Greater Than, Less Than

1. Objective - To solve simple inequalities. What symbol is this? > 17.2 0.985 Many students can’t tell them apart. > < reater than ess than

2. Identify each symbol below. “is greater than or equal to” 1) 2) “is less than” “is equal to” 3) 4) “is less than or equal to” “is greater than” 5) 6) “is approximately equal to” “is not equal to” 7)

3. Translate each sentence below. 1) Five more than x is greater than or equal to 19. 2) Sixteen less than y is less than 4 less y. 3) Eleven is less than or equal to the quotient of m and 8. 4) Seven is at least one more than twice x.

4. Solving Inequalities Equation Inequality x + 3 = 5 y + 3 > 5 Mentally x = 2 y must be greater than 2 x + 3 = 5 y + 3 > 5 Algebraically - 3 -3 - 3 -3 x = 2 y > 2 Inequalities transform just like equations with one exception. Later!

5. Solve. 1) 3) 2) 4)

6. Translate each sentence and solve. 1) Fifteen is greater than 6 plus x. 2) The quotient of x and 4 is at most 16.

7. Give 3 solutions to each inequality. 1) 2)