MATHEMATICAL
Pr act i ce an d Pr o b l em - So l v i n g Ex er ci ses PRACTICESPr act i ce Write an inequality that represents each verbal expression.8. v is greater th a n or equal to 5. 9. b is less th a n 4.10.3 less th a n g is less th a n or equal to 17. 11. The q u o tien t of k an d 9 is greater th a n4* See Problem 1.Determine whether each number is a solution of the given inequality. ^ See Problem 2.
3y — 8 > 22 a. 2 b. 0 C. 5
8 m — 6 ^ 10 a. (^2) b. 3 c. -1
4x + 2 < -6 a. 0 b. -2 c. 1
15- 6 « ” — 11 a. 0.5 b.^2 C.^4- m(m — 3) < 54 a. -10 b. o C. 9
Match each inequality with its graph. Se e Pr o b l em 3.- jc< -1 18. x — 1 19. -1 <x 20. -1 > x
-4 -3 -2 -1 0 1 2 3 (^4) -4 -3 -2 -1 (^0) 12 3 4
—4 - 3 - 2 - 1 0 1 2 3 4
n “ > ....i
' - 4 - 3 - 2 - 1 0
I i i i *
12 3 4
Graph each inequality.
21. y > (^2) 22. t< -4 23. z<-5 24. v > -2
- -3 </ 26. -§<c 27. 8 > b 28. 5.75 > d
Write an inequality for each graph. Se e Pr o b l em 4.-6 -5 -4 -3 -2-10 12 30. ' "—* 4 2 ■'...I-0 2 4 6 8 10 12
-4 -3 -2 -1 0
-. -. —|------------ 1 ------------- 1 ------------1_ i12 3 4 -10 -9 -8 -7 --6i I I I >
-5 -4 -3 -2- -10123 1
4 5 6 7
34 r * ~ I - , -
-4 -3 -2 -1 0 12 3 4Define a variable and write an inequality to model each situation.- The re sta u ran t can seat at m ost 172 people.
- A p erso n m u st be at least 35 years old to be elected P resident of th e U nited States.
- A light bulb can be no m ore th a n 75 w atts to b e safely u sed in this light fixture.
- At least 475 stu d en ts atten d e d the orchestra concert Thursday night.
- A law clerk has ea rn ed m ore th a n $20,000 since being hired.
Se e Pr o b l em 5.168 Ch ap t er 3 So lvin g In eq u al i t i es