algebra 1 lesson 3-3 solve > –2. graph and check the solutions. z3z3 z > –6simplify each...

ALGEBRA 1 LESSON 3-3ALGEBRA 1 LESSON 3-3

Solve > –2. Graph and check the solutions.z3

z > –6 Simplify each side.

3 > 3(–2) Multiply each side by 3. Do not reverse the inequality symbol.

z3( )

Check: > –2 Check your Solutionz3

– > –2 Substitute –3 for z.33

–1 > –2 Simplify.

Solving Inequalities Using Multiplication and DivisionSolving Inequalities Using Multiplication and Division

3-3

VERY IMPORTANT RULE!!!!!!!!!!!!!!!!!!!!!!!VERY IMPORTANT RULE!!!!!!!!!!!!!!!!!!!!!!!

EVERYTIME YOU MULTIPLY OR DIVIDE BY A NEGATIVE NUMBER…….

YOU HAVE TO FLIP THE INEQUALITY. THAT IS YOUR VERY FIRST STEP!!!!!!!


Solve 3 – x. Graph and check the solutions.< 35

( )53–( )5

3– (3) > ( )-3 5

xMultiply each side by the reciprocal of – , which

is – , and FLIP the inequality symbol.

35

53

–5 x x –5 THEN……Switch and Flip AGAIN…to get the variable on the left side!

<>


3-3


(continued)

<


3-3

35 xCheck: 3


Solve –4c < 24. Graph the solutions.

c > –6 Simplify.

Divide each side by –4. FLIP the inequality symbol.–4c–4 >

24–4


3-3


Your family budgets $160 to spend on fuel for a trip. How many times can they fill the car’s gas tank if it cost $25 each time?

Your family can fill the car’s tank at most 6 times.

cost per total fueltank budget

Relate: timesnumberof tanks

is atmost

Define: Let = the number of tanks of gas.t

Write: 25 • 160t <

25t 160<


3-3

Divide each side by 25.<25t25

16025

t 6.4 Simplify.<



pages 149–151 Exercises

1. t –4;

2. s < 6;

3. w –2;

4. p < –8;

5. y > –4;

6. v –1.5;

7. x < 6;

8. k –2;

9. x < 0;

10. y 0;

11. x < 7;

12. d –4;

13. c > – ;

14. b –1 ;

15. u < – ;

16. n > ;

17. t < –3;

18. m ≥ 2;

19. w –5;

20. c > 4;

21. z –9;

22. b < –6;

23. d < – ;

23

12

12

34

23

3-3

<–

<–

>–

<–

<–

>–

>–

>–

>–



3-3

24. x –5 ;

25. q > –3 ;

26. h < 5;

27. d > 4;

28. m –4.5;

1312

>–

<–

algebra 1 lesson 3-3 solve > –2. graph and check the solutions. z3z3 z > –6simplify each...

Documents