< § v i G o t It? 4. a. A club has a goal to sell at least 25 p lants for a fundraiser. Club m em bers
sell 8 plants o n W ednesday a n d 9 plants o n Thursday. W hat are the
possible n u m b ers of plants th e club can sell on Friday to m eet th eir goal?
b. Reasoning Can you u se th e sam e inequality sym bol to rep resen t phrases
like at least, no less than, and great er t han or equal to? Explain.Lesso n Ch eck
Do yo u k n o w H OW?
Solve each inequality. Graph and check your solutions.- p-4< 1
- 8 > d - 2
- y + 5 < -7
- 4 + c > 7
- A cyclist takes h er bicycle on a chairlift to the top of a
slope. The chairlift can safely carry 680 lb. The cyclist
weighs 124 lb, an d the bicycle weighs 32 lb. W hat
are the possible additional weights th e chairlift can
safely carry?
1Do yo u UN DERSTAND?
6. W r i t i n g How can you use th e addition and
subtraction properties of inequality to produce
equivalent inequalities?
0 7. Reasoning W hat can you do to the first inequality in
each p air in o rder to get the second inequality?
a. x + 4 < 10; x < 6
b. m-l>3;m>4
c. 5 > 3 + n; 2 > n
d. — 6 < y — 2; — 4 < y
8. Com pare and Cont r ast Suppose you solve th e two
inequalities y + 4 < 6 and y - 4 < 6. H o w a r e y o u r
m eth o d s of solving th e inequalities similar? How are
they different?Pr act i ce an d Pr o b l em - So l v i n g Ex er ci ses (jCT PRact ices
Pr act i ce Tell what number you would add to each side of the inequality to solve ^ See Pr o b lem s 1 and 2.
the inequality.9./- 6 > - 3 10. l<d-7 11. a -3.3 >2.6 12. 5 > - 1 8 + m
Solve each inequality. Graph and check your solutions.- y — 2 > 11 14. y — 4 < — 3 15. -6> c-2 16.8< /-4
- 1 — 4 5 —7 18. s - 10 < 1 19. 9 < p — 3 20.-3> x-l
21 - 0 < —| +/ 22.z-12<-4 23. -| > r - J 24.y-l> 1.5 - 4.3 > - 0 .4 + s 26. - 2 .5 > n - 0.9 27. c-f<® 28. p — 1J > l|
Tell what number you would subtract from each side of the inequality to solve ^ See Pr o b l em 3.
the inequality.- x+3>0 30. 9<l + s 3 1. 6.8 > m + 4.2 32. T +
174 Chapter 3 Solving Inequalities