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School
West Valley High school, Fairbanks Alaska **We aren't endorsed by this school
Course
MATH 10
Subject
Mathematics
Date
Aug 3, 2023
Pages
2
Uploaded by MasterQuetzalMaster588 on coursehero.com
STEM ALGEBRA II HONORS NAME: // % Unit 1 HW2: Algebra I Review - SOLVING INEQUALITIES and NOTATIONS Graph each inequality. 1. x >4 2. -3=x 3. x <=2 o @, & < T L' 1 > < b i —> e Y -3 © 2 O 4. -1<x<5 5 x<—=5o0rx>3 6. (—3,6] e S o o === > E—— -t © S 57 O 3 -3 0 © Express each inequality in interval notation. 7. x> —4 8 6> 9. x<—-20rx=6 10. —-5<x<9 (- ,e0) (—=0, 6] (-oo,-2] V6 o) (-, q] Express each interval as an inequality. 11, [4,) 12, (—,23) 13. [-8,10] 14. (—00,—9) U (5, 0) XzYy X < &3 -84 x40 X449 o X275 Express each graph as an inequality, in set notation, and in interval notation. X , §x|x>zf/ (2,e) M s e i e . 3 4 5 6 7 8 7 % ('wz - L'] 0 4 foma } / LI T RO T v S B S S R S S S B "YLX and xLD 5 x| -y<xg 2] (Y, 4] 18. ) P4 4-1 ! 1 b T B y ! e ¢ -t00-9 -7 -6 5 4 -3 -2 -1 0 1 3 4 5 6 7 8 9 10
Solve each inequality. Graph the solution set. 19. 8x—6>10 20. 3<23—4x 2. Zx=-3 X > 2 X £L¢ x>'% P e ) < & > Y Q —> < = = c 2 6 5 "% 0 @ & .8 1 22. -9<4x+3<11 23. 5x —4>16 or 3x+2 <17 ' —§<§(x—4)<§ 3L %<2 X>Y ok x<¢ _/1"<% A fecl #s 4_'-#@—_; 4%: . D——-—-—;')' % > =2 o 2 O 4 g O i{_ %&) Solve each inequality. Express your solution in set notation and interval notation. 25. >(8x—3)<2x+; 26. 9(2x—-5)—3<7x—4 fx\x<-§§ fx\xé"lf (-co, 'é) .('w) L") 27. 4<3(1-3x)<7 28. 3x—4>11o0r 1525—-(x—4) é* \ 'Efil""'"cl'{ gx\ X >S on xz—cz frixz-t§ (— %i )JE [*C, ) 29. You are going to the fair. Your mom has generously given you $80 to spend at the fair and on an Uber home after the fair. It costs $10 to get into the fair and $3 per ride. You will need at least $10 left when you leave the fair to cover the cost of the Uber. Write a compound inequality modeling the situation. What is the maximum number of rides you will be able to afford to go on? /' /O{/O%Zvc{?g/ M O<L [o+10+3x < ¢ ot (0L 20+3x4 $
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