Class X

State , whether the following is true where a,b,c and d are real numbers and c ≠ 0.
  1. If a < b, then (ac) > (bc)
  2. If a > b, then (a/c) < (b/c)
  3. If a < b, and c >0, then (a-c)>(b-c)
  4. If (a - c ) > (b--d ) then (a+d) > (b+c)
Solve : ( X/2 ) -5 ≤ (X/3) -4 where X is a positive odd integer .
  1. { 1, 2, 5 }
  2. { 1, 3, 5 }
  3. { 3, 2, 5 }
  4. { 2, 3, 5 }
Solve the inequations. (3 - 2X) ≥ (X-12) given that X∈ N
  1. { 1, 3, 4, 2, 5 }
  2. { 1, 2, 3, 4, 5 }
  3. { 12, 2, 3, 4, 5 }
  4. { 1, 12, 3, 4, 5 }
State , whether the following is false
  1. X< -y ⇒ -X > y
  2. -5X ≥ 15 ⇒ x ≥ -3
  3. 7 > 5 ⇒ 1/7 <1/5
  4. 2X ≤ 7 ⇒ 2X/(-4) ≥ (-7)/(-4)
If X ∈ N, find the solution set of inequations. 5X +3 ≤ 2X +18
  1. { 1, 3, 4, 2, 5 }
  2. { 1, 18, 4, 2, 5 }
  3. { 1, 2, 3, 4, 5 }
  4. { 18, 1, 3, 4, 5 }
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