University:
Carleton College
Course:
MATH 101 | Calculus with Problem Solving
Academic year:

2024
Views:

430

Pages:

4
Author:

5CelestialChronicle

t,t Inequalities Write an inequality for each situation. -y_,�60 1. The temperature today will be at most 50 ° F. 2. The temperature tomorrow will be above 70"F. t '776 3. Yesterday, there was less than 2 inches of rain. X. 4. Last Monday, there was at least 3 inches of rain. L i Z. 3 Graph each inequality. 5. /:S -2 6. j> -5 7. y:s 0 a. b< 2 (1 • I 'I I I I ( I I -6 I I I ,I (1 I I :01 0 I I I I I I \• I I 1:> I I I I I I I• Graph each compound inequality. 9. f>3 or f<-2 .L .. i -l1 1 (f)ll-;-!..... , .. ,.,,.. ��1-1 -lE!i'll--+1-+1-+---t -2... 10. -4:SW:S4 11. b<0orb.!:5 12• y 2: 3 or y:s -i 13. -4 < m< -2 t .3 0 I II I I I I I I 0 -4- 0 I O I, 4 S 1 ◄oE),\-. -i-i-+l-tl'--ll�lf--t--1 -•-� �.,,. '.? -4 -2... 0 Z Name _____________ Date ____ Class ____ Practice B 1LEssoit f-# Solving Inequalities by Adding or Subtracting Solve. Then graph each solution set on a number line. 1. y- 5 > -2 -0-+---lJ?'.3 2.n+5s11 3. X + 4 < -1 4.h+20>2 I I I I (J) I < I I I I ( I I ll) I -5 If' I I I I I I• h >-18 •+ (l,--- .l,-l --1-1---il-l""I "'"I-I -+I -+1-=I�""-� .0:::. -/ 2- +-1-t-.-,,-� --12.. I I I_ 5. p + 9 2: -3 """',-------'-- 6. s- 7 < -16 5 L _q Solve. Check each answer. 7.41 +g_>27 � . 10. z 9 27 < 16 I l -(E: ,-;' i 6) I 8. w+ 23 2: -18 11.-3:S/+17 I I I i'J!, I I 9.a+15s9 12. 78 2: b + 64 13. In order for a field trip to be scheduled, at least 30 students must sign up. So far, 23 students have signed up. At least how many more students must sign up in order for the field trip to be scheduled? 1� Date Name essor:. Class Practice B 1t..C( !;olving Inequalities by Multiplying or Dividing Solve. a b n 1.5:si1.6 3 -> -9 • 3 - 2.3> -8 n� Cl�-:>--, b>-24 s 5. -12 t 4.-=s< -7 -l ?42. :$ 6. /3 S6 -5 r� 3(,8 J'?:l, D Solve. Check each answer. 7. Sc< -64 8. -16a � -24 CL-8' 9. -121 > 9 t• L --3 a_L 112 10. -3s s -180 4- 11. 18b > -24 12. -6m� 4 b..>- I -.:3l 13. It cost Sophia $530 to make wind chimes. How many wind chimes must she sell at $12 apiece to make a profit? 12 ;( > 5 3b w-l Le a.-S -+- �- <6 14. It cost the Wilson children $55 to make lemonade. How many glasses must they sell at 75\t each to make a profit? ,. 7'>K 76 6 &;L. le Ct-S+ 14 96La S Sc';,;� 15. Jorge's soccer team is having its annual fund raiser. The team hopes to earn at least three times as much as it did last year. Last year the team earned $87. What is the team's goal for this year? C0) 8- 1 £1- cd: Lea;i-!-'t 2a, I Name _____________ Date ____ Class ____ Practice B 1 Solving Two-Step Inequalities f#: �ESso Solve. Then graph each solution set cm a number line. 1. 5x - 8 < 17 3. -4n + 8 < -4 i--L6 () .::, '\t I I I I 8 10,-=;r- 7 < -2 I I /9 -+--1------'f-----l 12 >3 11.9+�:5i17 I I Pl t l"'J) I i 'f) I I I I (f• I I I I I I I I ! 8) I I I I cl> I I I 8.4g-18e;-2 1)o I •I I Solve. 7.-7d+8>29 I 7 I I I 9. 12 - 3b< 9 2 12. - 3p- 8 2, 4 13. F[tty students in the seventh grade are trying to raise at IE1ast $2,000 for sports supplies. They have already raised $750. How much should each student raise, on average, in order to meet the goal? Y--_-r-_· _7_5_0_>_-_:;_;2_,_, =-= ___5 O O-=O"'---_,__t,_>�_1_�6- =-0---'- tbf;· & aSf p;;2_�