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Esercizi  Disequazioni   fratte(matematika)

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(1)Disequazioni fratte di primo grado. Algebra. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 v 3.0. 𝑥𝑥 >5 𝑥𝑥 − 2. 2 < 𝑥𝑥 <. 𝑥𝑥 + 4 <2 𝑥𝑥 − 3. 𝑥𝑥 < 3 ∨ 𝑥𝑥 > 10. 3𝑥𝑥 ≥8 𝑥𝑥 − 6. 6 < 𝑥𝑥 ≤. 𝑥𝑥 − 2 >0 𝑥𝑥 + 3. 48 5. 𝑥𝑥 < −3 ∪ 𝑥𝑥 > 2. 𝑥𝑥 + 3 >0 𝑥𝑥 − 2. 𝑥𝑥 < −3 ∪ 𝑥𝑥 > 2. 𝑥𝑥 + 3 <1 𝑥𝑥 − 2 −. 5 2. 𝑥𝑥 < 2. 2𝑥𝑥 + 3 ≥0 5𝑥𝑥 + 1. 3 1 − ≤ 𝑥𝑥 < − 2 5. 2𝑥𝑥 − 1 >0 𝑥𝑥 − 3. 𝑥𝑥 <. 5 − 𝑥𝑥 <0 2𝑥𝑥 + 2. 1 ∪ 𝑥𝑥 > 3 2. 𝑥𝑥 < −1 ∪ 𝑥𝑥 > 5. 2𝑥𝑥 − 1 >2 𝑥𝑥 − 3. 𝑥𝑥 > 3. 5𝑥𝑥 + 12 <1 7𝑥𝑥 − 1. 𝑥𝑥 <. 2𝑥𝑥 ≤0 𝑥𝑥 + 1. −1 < 𝑥𝑥 ≤ 0. 2 − 3𝑥𝑥 2 < 𝑥𝑥 + 2 3. 𝑥𝑥 < −2 ∨ 𝑥𝑥 >. 𝑥𝑥 − 2 <0 𝑥𝑥 − 16. 2 11. 2 < 𝑥𝑥 < 16. 2𝑥𝑥 − 1 ≤0 5 − 𝑥𝑥. 𝑥𝑥 ≤. 3𝑥𝑥 + 7 ≥0 4𝑥𝑥 − 1 3 − 𝑥𝑥 ≥0 2 − 7𝑥𝑥. 1 13 ∨ 𝑥𝑥 > 7 2. 1 ∪ 𝑥𝑥 > 5 2. 𝑥𝑥 ≤ − 𝑥𝑥 < © 2016 - www.matematika.it. 7 1 ∪ 𝑥𝑥 > 3 4. 2 ∪ 𝑥𝑥 ≥ 3 7. 1 di 5.

(2) Disequazioni fratte di primo grado. Algebra. 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 v 3.0. 𝑥𝑥 + 5 ≤0 𝑥𝑥 − 2. −5 ≤ 𝑥𝑥 < 2. 2 + 𝑥𝑥 <0 𝑥𝑥 − 1. −2 < 𝑥𝑥 < 1. 𝑥𝑥 − 2 >2 2𝑥𝑥 − 1. 0 < 𝑥𝑥 <. 1 − 3𝑥𝑥 <0 4𝑥𝑥 − 3. 1 3 < 𝑥𝑥 < 3 4. 2 − 𝑥𝑥 ≥0 4 + 𝑥𝑥. −4 < 𝑥𝑥 ≤ 2. 22 − 𝑥𝑥 −7≥0 1 − 𝑥𝑥. 5 − ≤ 𝑥𝑥 < 1 2. 1 − 𝑥𝑥 −1≥0 3𝑥𝑥. 0 < 𝑥𝑥 ≤. 2𝑥𝑥 + 5 >4 3𝑥𝑥 − 1. −1 < 𝑥𝑥 < 1. 𝑥𝑥 − 12 ≤0 3𝑥𝑥 + 1. −. 15 1 ≤− 7 𝑥𝑥 + 6. −. 2 1 − ≥1 6𝑥𝑥 − 7 4 8≥. 𝑥𝑥 <. 3(4 + 5𝑥𝑥) 5 ≥− 𝑥𝑥 4. 4 3. 3 21 3 ∨ < 𝑥𝑥 < 7 29 2. 𝑥𝑥 ≤ −. 1 − 𝑥𝑥 𝑥𝑥 ≥ 9 3 3 1 + 𝑥𝑥 − 6 5. 97 ≤ 𝑥𝑥 < −6 15. 𝑥𝑥 < 0 ∨ 𝑥𝑥 ≥. 4 3 < 7𝑥𝑥 − 3 3 − 2𝑥𝑥. −3 >. 14 1 ≤ 𝑥𝑥 < 5 3. 7 43 < 𝑥𝑥 ≤ 6 30. 11 1 − 𝑥𝑥 4. −3 +. 1 4. 1 9 < 𝑥𝑥 < 3 10. 𝑥𝑥 − 1 1 − 3𝑥𝑥 −1< 𝑥𝑥 + 1 1 + 𝑥𝑥 2−. 1 2. 48 ∨ 𝑥𝑥 > 0 65. 𝑥𝑥 ≤ −. 13 2. 81 < 𝑥𝑥 < 6 16 © 2016 - www.matematika.it. 2 di 5.

(3) Disequazioni fratte di primo grado. Algebra. 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 v 3.0. 2−. 5 <0 𝑥𝑥 − 10. 10 < 𝑥𝑥 <. 25 2. 2 4 < 3𝑥𝑥 − 3 3 − 𝑥𝑥. 𝑥𝑥 < 1 ∨. 13 15 ≤ 𝑥𝑥 + 4 2𝑥𝑥 − 3. 𝑥𝑥 < −4 ∨. 3 6 < 4 − 𝑥𝑥 4𝑥𝑥 − 3. 3 11 < 𝑥𝑥 < ∨ 𝑥𝑥 > 4 4 6. 7 12 < 3𝑥𝑥 − 1 5𝑥𝑥 + 6. 6 1 − < 𝑥𝑥 < ∨ 𝑥𝑥 > 54 5 3. 9 < 𝑥𝑥 < 3 7. 𝑥𝑥 − 2 6 > 3𝑥𝑥 − 5 19. 𝑥𝑥 <. 6 5 > 2𝑥𝑥 − 1 𝑥𝑥 − 2. 𝑥𝑥 < −. 6 5 < 2𝑥𝑥 + 1 2 − 3𝑥𝑥. 1 1 2 𝑥𝑥 < − ∨ < 𝑥𝑥 < 2 4 3. 8 7 ≥ 2𝑥𝑥 + 5 3𝑥𝑥 − 2. 5 ∪ 𝑥𝑥 > 8 3. 3 < 𝑥𝑥 ≤ 9 2. 7 1 ∨ < 𝑥𝑥 < 2 4 2. 5 2 51 − < 𝑥𝑥 < ∨ 𝑥𝑥 ≥ 2 3 10. 7𝑥𝑥 − 5 >4 8𝑥𝑥 + 3. −. 17 3 < 𝑥𝑥 < − 25 8. 2𝑥𝑥 − 5 <0 4𝑥𝑥 + 1. 1 5 − < 𝑥𝑥 ≤ 4 2. 𝑥𝑥 − 2 <0 𝑥𝑥 − 16. 2 < 𝑥𝑥 < 16. 3𝑥𝑥 + 2 >0 4𝑥𝑥 + 6. 𝑥𝑥 < −. 2𝑥𝑥 ≤0 𝑥𝑥 + 1. −1 < 𝑥𝑥 ≤ 0. 3𝑥𝑥 + 6 >0 2𝑥𝑥 − 8. 𝑥𝑥 < −2 ∨ 𝑥𝑥 > 4. 7𝑥𝑥 − 2 <0 8 − 4𝑥𝑥. 𝑥𝑥 < © 2016 - www.matematika.it. 3 2 ∨ 𝑥𝑥 > − 2 3. 7 ∨ 𝑥𝑥 > 2 2. 3 di 5.

(4) Disequazioni fratte di primo grado. Algebra. 51 52 53 54 56 57 58 59 60 61 62 63 64 65 66 67 v 3.0. 7 <0 𝑥𝑥 − 5. 𝑥𝑥 < 5. 15 − 15 ≥ 0 7 + 𝑥𝑥. −7 < 𝑥𝑥 ≤ −6. 16 >3 2𝑥𝑥 − 5. 5 31 < 𝑥𝑥 < 2 6. 2𝑥𝑥 > −3 1 + 𝑥𝑥. 𝑥𝑥 < −1 ∨ 𝑥𝑥 > −. 𝑥𝑥 − 4 3 1 − ≥ 𝑥𝑥 3 𝑥𝑥 − 4 3. 7 < 𝑥𝑥 ≤ 4 4. 2𝑥𝑥 − 3 >2 𝑥𝑥 − 5. 𝑥𝑥 > 5. 1 − 𝑥𝑥 ≥0 2𝑥𝑥. 0 < 𝑥𝑥 ≤ 1. 37 − 25𝑥𝑥 >0 4𝑥𝑥 − 5. 5 37 < 𝑥𝑥 < 4 25. 2𝑥𝑥 + 1 <2 3𝑥𝑥 − 4. 𝑥𝑥 <. 3𝑥𝑥 − 6 ≥0 2𝑥𝑥 + 1. 𝑥𝑥 < −. 3𝑥𝑥 − 2 ≥1 5 − 3𝑥𝑥. 7 5 ≤ 𝑥𝑥 < 6 3. 1 ∨ 𝑥𝑥 ≥ 2 2. 4 9 ∨ 𝑥𝑥 > 3 4. 1 ≤0 𝑥𝑥. 𝑥𝑥 < 0. 6 5 − >0 𝑥𝑥 − 3 2. 3 < 𝑥𝑥 <. 2𝑥𝑥 − 5 ≤0 4𝑥𝑥 + 1. 5−. 1 5 − < 𝑥𝑥 ≤ 4 2. 1 + 2𝑥𝑥 ≥0 2𝑥𝑥 − 1. 𝑥𝑥 − 5 ≤0 𝑥𝑥 + 3. 3 5. 𝑥𝑥 <. 27 5. 1 3 ∨ 𝑥𝑥 ≥ 2 4. −3 < 𝑥𝑥 ≤ 5 © 2016 - www.matematika.it. 4 di 5.

(5) Disequazioni fratte di primo grado. Algebra. 68 69 70. 71. 72. 73. 74. 75. 76. 77. 78. 79. 80. v 3.0. 1 1 >− 2𝑥𝑥 − 1 3. 𝑥𝑥 < −1 ∨ 𝑥𝑥 >. 3 5 <− 8 2𝑥𝑥 − 4. −. 1 2. 2 10 − >0 3 3 − 𝑥𝑥. 𝑥𝑥 < −12 ∨ 𝑥𝑥 > 3. 2 3 >− 4𝑥𝑥 + 1 2. 𝑥𝑥 < −. 1 − 𝑥𝑥 −1≥0 3𝑥𝑥. 14 < 𝑥𝑥 < 2 3 7 1 ∨ 𝑥𝑥 > − 12 4. 0 < 𝑥𝑥 ≤. 4 + 10𝑥𝑥 <0 4 − 3𝑥𝑥. 𝑥𝑥 < −. 1 4. 2 4 ∨ 𝑥𝑥 > 5 3. 2 − 𝑥𝑥 ≥0 𝑥𝑥 + 4. −4 < 𝑥𝑥 ≤ 2. 3𝑥𝑥 − 15 >0 2𝑥𝑥 + 4. 𝑥𝑥 < −2 ∨ 𝑥𝑥 > 5. 5<. −. 1 + 2𝑥𝑥 2𝑥𝑥 − 1. 1 3 < 𝑥𝑥 < 2 4. 5 4 > 3 3 − 𝑥𝑥 2. 3 39 < 𝑥𝑥 < 2 10. 3 4 ≥1 𝒙𝒙 − 5 3. 5 < 𝑥𝑥 ≤. 5 3𝑥𝑥 − 2 < 0 7 𝑥𝑥 − 2. 29 4. 2 < 𝑥𝑥 < 2 3. (𝑥𝑥 − 3)(2𝑥𝑥 − 5) ≤0 (4 − 3𝑥𝑥)(3𝑥𝑥 − 8). 5 8 4 ≤ 𝑥𝑥 < ∨ 𝑥𝑥 < ∨ 𝑥𝑥 ≥ 3 2 3 3. © 2016 - www.matematika.it. 5 di 5.

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