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in #msi6 years ago

) The set N of natural numbers.
(2) The set J of all positive integers.
(3) The set P of all prime numbers.
(4) The set A of all positive integers that lie between 1 and 13.
(5) The set B of real numbers which satisfy the equation 3x2 + 5x – 2 = 0.

  1. Choose a suitable description (a) of (b) or (c) in set builder form for the following sets.
    (1) E ={ 2, 4, 6, 8}
    (a) E = { x/ x is an even integer less than 10 }
    (b) E = { x/ x is an even positive integer less than 10 }
    (c) E = { x / x is positive integer, x< 10 and x is a multiple of 2}
    (2) F = { 3, 6,9, 12, 15 , …}
    (a) F = {x/ x is appositive integer that is divisible by 3}
    (b) F = {x/x is a multiple of 3}
    (c) F = {x/x is a natural number that is divisible by 3}
  2. A = {x/x2 + x – 6 } and B = { -3,2}. Is A = B?
  3. A = {x/x is prime number which is less than 10} and B = {x/x2 – 8x + 15 = 0}
    (a) Is A = B (b) Is B⊂ A?
  4. P = {x/x is an integer and -1 < x<3/5 }and Q = {x/x3 -3x2 + 2x = 0} . Is P = Q?
    6.L= {(x,y)/ x and y are positive integers and x + y = 7}.Write L by listing its elements.

Exercise 1.2
1.Draw the following intervals.
(a) {x/x > 2} (b) {x/x ≥ 3} (c) {x/x x ≤ -1} (d) {x/x>-1}
(e){x/-2≤ x≤ 2} (f) {x/0≤x≤ 5} (g) {x/x≤0 or x.2}

  1. Draw a graph to show the solution set of each of the following.
    (a) x-1<4 (b) x-
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