The solution of the `-12 < 4-(3x)/(-5) le2` is
(a) `56/3 lt x lt 14/3`
(b)`-56/3 ltxlt14/3`
(c) `56/3 ltxlt14/3`
(d)` -80/3 ltxle (-10)/3`

The value of int_-2^3 |1-x^2|dx is (A) 7/3 (B) 14/3 (C) 28/3 (D) 1/3

The following sentences are the steps involved in solving 4-3x lt 5 . Arrange them in sequential order, (A) -3x lt 1 (B) -x lt 1//3 (C) -3x lt 5 -4 (D) x gt -1//3

Record the following sets of compounds according to increasing pK_(a)(=-logKa) (a). cyclohexane carboxylic acid (A). 3 lt 2 lt 1 (B). 3 gt 2 gt 1 (C). 1 lt 2 lt 3 (D). 3 lt 1 lt 2 (b). 1-butyne, 1-butene, butane (A). 3 lt 2 lt 1 (B). 3 lt 2 lt 1 (C). 1 lt 3 lt 2 (D). 3 lt 2 gt 1 (c). Propanoic acid, 3-bromopropanoic acid, 2-nitropropanoic acid (A). 3lt2lt1 (B). 3gt2gt1 (C). 1lt2lt3 (D). 3lt1lt2

The values of a which make the expression x^2-ax +1-2a^2 always positive for real values of x are- A. -2/3 lt a lt 2/3 B. -2/3 le a le 2/3 C. -2/3 le a le 1 D. 0 lt a lt 2/3

If y=2x-3 is tangent to the parabola y^(2)=4a(x-(1)/(3)), then a is equal to (22)/(3)(b)-1(c)(14)/(3)(d)(-14)/(3)

sin^(-1)sin((3x^(2)-1)/(2x^(2)+2))lt(3)/(4) if (1) -sqrt((5)/(3))ltxltsqrt((5)/(3))quad (2) -(sqrt(10))/(3)ltxlt(sqrt(10))/(3) (3) -1ltxlt1quad (4) -(sqrt(10))/(4)ltxlt(sqrt(10))/(4)

The value of int_(-2)^(3)|1+x^(2)|dx is (A) (7)/(3)(B)(14)/(3) (C) (28)/(3)(D)(50)/(3)

7a^3+56b^3