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Y2 x2 xy 1 x2 2 y3 x y3 if fx x 1 then f x f

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Unformatted text preview: e are 120° left for ∠A and ∠C together and, also ∠A > ∠ C, then ∠A must contain more than half of 120° and ∠C must contain less than half of 120°. This makes ∠A the largest angle of the triangle. The sides in order from largest to smallest are BC, AC, AB. (D) ∠ABC = ∠ABD as they are both right angles. If ∠1 > ∠4, then ∠2 will be less than ∠3 because we are subtracting unequal quantities (∠1 and ∠4) from equal quantities (∠ABC and ∠ABD). (D) The sum of any two sides (always try the shortest two) must be greater than the third side. 2. (C) 2. 3. 4. (E) (A) 3. –.4x < 4 Multiply by 10 to remove decimals. −4 x < 40 x > −10 5. (D) .03n > –.18 4. Multiply by 100 3n > −18 n > −6 6. (D) Divide by 15 b< 5. 10 15 2 Simplify to b < 3 7. 8. (D) x must be less than 2, but can go no lower than –2, as (–3)2 would be greater than 4. (D) n + 4.3 < 2.7 Subtract 4.3 from each side. n < –1.6 (D) When two negative numbers are added, their sum will be negative. 9. 10. (E) The product of two negative numbers is positive. www.petersons.com 242 Chapter 14 Retest 1. (B) 2 x > −5 5 x>− 2 6. (B) If two sides of a triangle are equal, the angles opposite them are equal. Therefore ∠C = ∠B. Since ∠1 > ∠B, ∠1 > ∠C. (A) The sum of any two sides (always try the shortest two) must be greater than the third side. (C) 2. (C) If unequal quantities are subtracted from equal quantities, the differences are unequal in the opposite order. 7. 8. (−) p < q 3. m=n m− p> n−q (A) Since ∠3 > ∠2 and ∠1 = ∠2, ∠3 > ∠1. If two angles of a triangle are unequal, the sides opposite these angles are unequal, with the larger side opposite the larger angle. Therefore, AB > BD. (D) Since ∠1 > ∠2 and ∠2 > ∠3, ∠1 > ∠3. In triangle ACD side AD is larger than side AC, since AD is opposite the larger angle. (C) x >6 2 x > 12 4. BT = 1 1 ST and SA = SR. Since ST = SR, 2 2 BT = SA. 9. (A) A positive minus a negative is always greater than a negative...
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This note was uploaded on 08/15/2010 for the course MATH a4d4 taught by Professor Colon during the Spring '10 term at Embry-Riddle FL/AZ.

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