Inequalities Part-1

01) The solution of the inequality

       (5x- 2x)/3 < (x/6) - 5 is :

      (a) x > 8

      (b) x < 8

      (c) x = 8

      (d) None of these

02) For all λ ∈ R, the line (2 +  λ )x

      + (3 -  λ ) y + 5 =0 passing through

       a fixed point, then the fixed point is:

      (a) (1, 1)

      (b) (-1, -1)

      (c) (1, -1)

      (d) (-1, 1)

03) Solution space of the inequalities 2x +

       y < 10 and x - y < 5:

       (i) includes the origin

      (ii) includes the point (4,3)

       which one is correct ?

     (a) Only (i)

     (b) Only (ii)

     (c) Only (i) and (ii)

     (d) None of the above

04) If | (3x - 4) / 4| < (5/12), the solution set

      is :

     (a) { x: (19 / 18) < x < (29 / 18)}

      (b){ x: (7 / 9) < x < (17 / 9)}

     (c) { x: (-29 / 18) < x < (-19 / 18)}

     (d) None of these

05) The shaded region represents :

 

 (a) x + y > 6, 2x - y > 0

  (b) x + y < 6, 2x - y > 0

  (c) x + y > 6, 2x- y < 0

(d) None of these