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1 31., , 32., , i 33., , 35., , 37., , . Solution of, , Lal 2 is satisfied when x satisfies, , x-3, {a) (=, 3) U (10, co) (b) (3, 10), (c) (-™ 3) U[10, =) (4) None of these, , x-7 ;, ——>2is, . Solution of cas, , {b) (-2,-13), , (a) (- 3.), (c) (-13,-3) (d) (- 13,3), , 2x—3, Solution of ——= 2 3 is, 3x-5, , 2 32, w [-3) w (35, , © (— 5) (a) [2. ~, , Solution of (x - 1)*(x + 4) < is, (a) (-% 1) (b) (-*, -4), (ec) (- 1.4) (d) (1, 4), , Solution of (2x + 1)(x - 3) (x + 7) < Ois, (a) ca-nu(-} 3) (b) ca-nu(t 3), , © canu(-t s)@ (3-NUGB@), , Solution of | 3x + 2 | < lis, ob} Eel, , (c) (-.-4) (d) None of these, , . Solution of |3x - 2| 2 1 is, , obo), , (©) {i i (d) (--. i] vine), , Solution of |3 - x| = 3 - x is, (a) x<3 (b)x>3 (c) x23 (d) x33, , 4 4< 4is, w (3), of) @ aie, , > 2is, , , , , , , , Solution of 142, x, , (a) (0, 3) (b) [-1,0), , (c) (-1,0)U (0,3) (d) None of these, , Solution of |x? - 10] < 6 is, (a) (2, 4) (b) (- 4, - 2), (c) (-4,-2)U (2.4) (d) [-4,-21¥ (2, 4]
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39., , 40., , 41., , 42., , 45., , Solution of 2x - 1=|x+7lis, (a) -2 (b) 8, () -28 (d) None of these, Solution of |2x ~ 3] < |x + 2] is, , w(=4) (35), (c) (5,%) (d) (- iu (5, e), , Solution of 0 < [3x + 1| < ; is, , oH) of, 0 CH aH, , Solution of |x+, , , , , , 1, —|>2is, &, , (a) R- {0} (b) R, (c) R- {1} (d) R, , , , F 1, Solution of |x+—|< 4 is, x, , (a) (2-v3,2+V3)U(-2-¥3,-2+ V5), (b) R-(2-¥3,2+y3), (c) R-(-2-v3,-2+3), , (d) none of these, , Solution of |x - 1] 2 | x - 3] is, (a) x<2 (b) x22, (c) [1,3] (d) None of these, , For all x R, if Ax? - 9x +52 +1>0, then A lies |, in the interval, , o($) ofl, , (c) [° “| (d) None of these, , , , The set of values of x which satisfy the inequations, , 5x+2<3x+8 and xe cis, x, (a) (- ©, 1) (b) (2, 3), (c) (- ©, 3) (d) (-%, 1) U (2, 3)
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Inequalities in Two Variables, , | 47. The feasible region for the following constraints, L, £0, L, 2 0, L; = 0, x2 0, y 2 0 in the diagram, shown is, (a) area DHF, (b) area AHC, , (c) line segment EG, , , , (d) line segment GI, , BH Solution of System of Linear, Inequalities in Two Variables, | Direction (48 - 50) : Which of the following inequalities, _ Satisfy the given figure?, | 48. (i) x22, (ii) y23, (iii) 5x + 4y < 40, (iv) 8x + 3y < 10, (v) x<0, (a) (i), (ii) and (iv), (b) (i), (ii) and (iii), (c) only (iii) and (iv), (d) (ii), (iii) and (v), , 49. (i) x+y25, (ii) x-y25, (iii) x- y $3, (iv) y< -2, (a) only (i) and (iii), (b) (ii), (iii) and (iv), (c) Only (i) and (iv), (d) (i), (ii) and (iii), , 50. (i) x+2ys8, (ii) x20, y20, (iii) x 0, ys 0, (iv) x+y <8, (v) 4x + Sy 2 40, (a) (i), (iii) and (v), (b) (i), (iv) and (vy), (c) (i), (iii) and (iv), (d) (i), (ii) and (iv), , , , , , , ”, AQevepeusuH.© Ss, , <, <, , x
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If x < 5, then, , (a) -x<-5 (b) —, , (c) -x>-5 (d) -x2~- tec, Given that x, y and b are real numbers 4” x m, b <0, then, , wid, , IA, , (b), , ~, 2, , Tle Sle ole, wv v, , The Sch oN, , (d), , If -3x + 17 < - 13, then, (a) x €(10, ©), , (b) x €[10, 2), , (c) x€(-2, 10], , (d) x €[-10, 10), , If x is a real number and |x| < 3, then, , (a) x23, , (b) -3<x<3, , (c) x€$-3, , (d) -3$x<3, , xand b are real numbers. If b > 0 and |x| > b, then, (a) x €(-b, 2), , (b) x€(- =, b), , (c) x€(-b, b), , (d) x €(~ %, -b) U (b, c9), , If |x - 1| > 5, then, , (a) x e(-4, 6), , (b) x€[-4, 6], , (c) x€(- 2, -4) U (6, 20), , (d) x €(- , -4) U [6, c0), , If |x + 2| $9, then, , (a) x €(-7, 11), , (b) x €[-11, 7], , (c) x€(- -7) U (11, 09), (d) x €(- %, -7) U [11, o)
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tains MCOs Of ‘NCERT Exemplar Problems’ book,, | 8. Theinequali i, : the aera ., (a) |x]<5, ys (b) |x| $5, (c) |x]>5, (d) |x}25, , , , » Direction (9-12) ; Solution of a linear inequality ;, , . variable x is represented on number line. Choose th, correct answer from the given four options in each of, , | the following questions,, , 9. (a) xE(-=, 5) <, / (b) xe(-=,5) :, , (c) x €[5, «), (d) x (5, 2), , 10. (a) xe 2.-] <———_», [9, , (b) xe 2.), , (c) xE]—c, ), , 9, , 2, , ' 9, (d) xe -~3|, , i 2, Z, , , , a (a) x€ | — >, t, , (b) x€ --2|, , o oe, , (d) xe «|, , 112, (a) x€(-=, -2) — >, (b) x €(--, -2], , (c) xe (-2, oo), Ose
