ALGEBRA 1 LESSON 10 1 Inequalities and Their

ALGEBRA 1 LESSON 10 -1 Inequalities and Their Graphs (For help, go to Lesson 1 -3. ) Graph the numbers on the same number line. 1. 4 2. – 3 3. 9 4. 0 3 5. 1. 5 Complete each statement with <, =, or >. 6. – 3 – 5 7. 4. 29 4. 8 8. (– 3)(– 4) 12 9. – 1 – 2 6 – 9 10. – 4 3 11. + + 2 2 3 4 – 5 10 -1 1 1 3 1 1

ALGEBRA 1 LESSON 10 -1 Inequalities and Their Graphs Solutions 1. – 5. 6. – 3 > – 5 7. 4. 29 < 4. 8 8. (– 3)(– 4) 12 9. – 1 – 2 6 – 9 12 = 12 10. 3 – 4 – 3 = – 3 4 – 5 11. – 0. 75 > – 0. 8 1 1 + 3 3 1 1 + 2 2 2 < 1 3 10 -1

ALGEBRA 1 LESSON 10 -1 Inequalities and Their Graphs > Is each number a solution of x 5? a. – 2 No, – 2 5 is not true. > c. 25 b. 10 5 Yes, 10 5 is true. > 10 -1 Yes, 5 5 is true. >

ALGEBRA 1 LESSON 10 -1 Inequalities and Their Graphs Is each number a solution of 3 + 2 x < 8? a. – 2 b. 3 3 + 2 x < 8 3 + 2(– 2) < 8 Substitute for x. 3 + 2(3) < 8 Substitute for x. 3 – 4 < 8 Simplify. 3 + 6 < 8 Simplify. – 1 < 8 Compare. 9 < 8 Compare. – 2 is a solution. 3 is not a solution. 10 -1

ALGEBRA 1 LESSON 10 -1 Inequalities and Their Graphs a. Graph d < 3. b. Graph – 3 ≥ g. The solutions of d < 3 are all the points to the left of 3. > The solutions of – 3 g are – 3 and all the points to the left of – 3. 10 -1

ALGEBRA 1 LESSON 10 -1 Inequalities and Their Graphs Write an inequality for each graph. x < 2 Numbers less than 2 are graphed. x – 3 < Numbers less than or equal to – 3 are graphed. x > – 2 Numbers greater than – 2 are graphed. 1 1 x > 2 Numbers greater than or equal to 2 are graphed. 10 -1

ALGEBRA 1 LESSON 10 -1 Inequalities and Their Graphs Define a variable and write an inequality for each situation. a. A speed that violates the law when the speed limit is 55 miles per hour. b. A job that pays at least $500 a month. Let v = an illegal speed. Let p = pay per month. The speed limit is 55, so v > 55. The job pays $500 or more, > so p 500. 10 -1

ALGEBRA 1 LESSON 10 -1 Inequalities and Their Graphs 1. Is each number a solution of x > – 1? a. 3 yes b. – 5 no 2. Is 2 a solution of 3 x – 4 < 2? no 3. Graph x > 4. 4. Write an inequality for the graph. 5. Graph each inequality. a. t is at most 2. b. w is at least 1. 10 -1 p – 2 <