University:
Missouri State University
Course:
MTH 103 | Intermediate Algebra
Academic year:

2019
Views:

265

Pages:

4
Author:

Autumn Cox

Algebra 18 Unit 1 Review Date Study Guide Be able to... Solve and graph multi-step inequalities (Sections 6.1 & 6.2) Solve and graph compound inequalities (Section 6.3) Solve absolute value equations (Section 6.4) Solve absolute value inequalities (Section 6.4) Set up equations and inequalities from real life scenarios (applications) Solve the following inequalities and graph the solutions. 1 x + 5 >= 3 -5-5 x >= - 2 -2 4. 3 + n > - 3 3 - 3 77-6 7 ^ 4 * a/4 > - 2 a>-8 -8 10 5x - 2 > - 17 +2 12 (5 * 7)/6 * 7 -15 5 x > - 3 < -3 2. - 2 > x - 4 \\ +4 aligned 2 > x x < 2 5. 6/- 3 > (- 3x)/- 3 - 2 < x x > - 2 2 B = 3/2 - 2/3 * x <= 12 - 3/2 x <= 1% 18 11. x-423x-2 44 - x >= 3x + 2 - 3x - 3x (- 4x >= 4)/- 4 >= 2/- 4 x <= - 1/2 ww 3. n - 5 <= 3 15 15 758 8 - 4x + 2 > - 18 -2 -2 (- 4x)/- 4 > - 20/- 4 x < 5 9. aligned -10>b-6\\ r 6+6 aligned -47b b < - 4 S -4 12 12 > - 2x - 6 + 6 18/- 2 > (- 2x)/- 2 -9 - (2x + 4) - x + 6 > - 2x - 4 +2x +2x x + 6 > - 4 -6 X7-10 -10 14. 1/2 * x + 3 <= 7 - 3 - 3 2 1/2 * x <= 4 * 2 x <= 8 8 15. 2x - 1 > 6x + 2 2x > 6x + 3 - 6X - 6X (- 4x)/- 4 > 3/- 4 x < - 3/4 > 75 16. - 2x + 2 < - 12 - 2 - 2 (- 2x)/- 2 ^ < -14 -2 x > 7 17. 10 - c >= 6 - 10 - 10 (- c)/- 1 ^ >= -4 -1 c <= 4 4 → matrix 7 3 x-1>=6\\ +1+1 aligned 3/7 * 7/3 * x >= 7 * 3/7 x >= 3 3 7 Write a compound inequality that represents the statement. 19.x is less than 8 and greater than 2 2 < x < 8 20. x is less than 1 and at least -5 - 5 <= x < - 1 21. x is greater than 6 or less than 5 x < 5 5 OR x76 6 Solve the following inequalities and graph the solutions. 22. 6 < x - 6 <= 8 +6 to +6 12 < x <= 14 < 12 14 → 23. - 3x - 7 >= 8 or - 2x - 11 <= - 31 +7 +7 (- 3x)/- 3 >= 15/- 3 x <= - 5 (- 2x)/- 2 <= - 20/- 2 x >= 10 10 OR -5