By James Stewart; L Redlin; Saleem Watson
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Extra resources for College algebra
0 1 1 2 82. Commutative and Noncommutative Operations We have seen that addition and multiplication are both commutative operations. (a) Is subtraction commutative? (b) Is division of nonzero real numbers commutative? (c) Are the actions of putting on your socks and putting on your shoes commutative? (d) Are the actions of putting on your hat and putting on your coat commutative? (e) Are the actions of washing the laundry and drying it commutative? (f) Give an example of a pair of actions that is commutative.
A) Ϫp Ͼ Ϫ3 (b) 8 Յ 9 32. 1 ෆ (b) 8 Յ 8 33–34 8. Óx ϩ aÔÓx ϩ b) ϭ Óx ϩ aÔx ϩ Óx ϩ aÔb 33. (a) (b) (c) (d) (e) x is positive t is less than 4 a is greater than or equal to p 1 x is less than ᎏ3ᎏ and is greater than Ϫ5 The distance from p to 3 is at most 5 34. (a) (b) (c) (d) (e) y is negative z is greater than 1 b is at most 8 „ is positive and is less than or equal to 17 y is at least 2 units from p 9. 2xÓ3 ϩ yÔ ϭ Ó3 ϩ yÔ2x 10. 7Óa ϩ b ϩ cÔ ϭ 7Óa ϩ bÔ ϩ 7c 11–14 ■ Rewrite the expression using the given property of real numbers.
2. 003h (a) Find the temperature T at an elevation of 1500 ft. (b) If the temperature is 64°F, what is the elevation? 3. 7 (a) Find the pressure P at a depth of 180 ft. (b) Find the pressure P at a depth of 330 ft. 4. The portion of a floating iceberg that is below the water surface is much larger than the portion above the surface. 5. 06s3 (a) Find the power needed to drive the ship at 12 knots. 5-hp engine drive the ship? 15. The sum S of a number n and its square 16. The sum S of the squares of two numbers n and m 17.