114 Chapter 1 Linear Equations and Inequalities in One Variable ` 1 y ` 3 5 0 0 0 0 p 9 2 15. 16. 4x 3 9 2x 17. 3 4 ` 2x 9 ` 6 3 ` 5 18. 8w 4 5w 1 19. 20. 3 21. 2 c 5 3 22. 10n 2 7 7 23. ` 10 x 5 24. 25. 2x 7 9 and 3x 36 26. 3 x 2x and 27. 5(x 2) 7 2x 3(x 1) 28. 7y 4 3(y 1) 4y 2 1 3 x 1 3 y 5 6 1 2 y 1 w 4 5 w 1 3 0 0 0 0 1 Group Activity Understanding the Symbolism of Mathematics Estimated time: 15 minutes Group Size: 3 As you advance in your study of mathematics, you will notice that mathematics has its own language and syntax. For example, the statement a > 0 translates to “a is greater than zero.” This also means that a is positive. Read and interpret the following conditions imposed on the variables a, b, c, d, and x. Then determine whether the statements in Exercises 1–12 are true or false.Work three exercises at a time individually. Then stop and check your answers with the other members of the group. Discuss any discrepancies and agree on a final answer. a 7 0 b 6 0 1 6 c 6 1 d 7 1 x 0 1. 2. 3. 4. 5. 6. ab 7 0 bd 6 0 a d 7 0 b2 6 0 a2 7 0 c d 0 c2 6 1 d2 7 1 0c 0 6 1 7. 8. 9. 10. 11. 12. x d bx 6 0 b x 7 0 0 For Exercises 13–24, suppose that m represents an odd integer and n represents an even integer. Determine whether the statements are true or false. 13. m 1 is an odd integer. 14. m 2 is an odd integer. 15. m 1 is an odd integer. 16. m 2 is an odd integer. 17. m n is an even integer. 18. m n is an even integer. m2 n2 19. is an even integer. 20. is an even integer. 1m n22 1n n22 21. is an odd integer. 22. is an even integer. 23. 1m n 123 is an odd integer. 24. 1m m 223 is an odd integer.
miller_intermediate_algebra_4e_ch1_3
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