Question

ifx€{-3,-2,-1,0,1,2,3} find the solition set of 14-2x<6​

Answer 1

Answer:

Condition : 14 - 2x < 6

⇒ -2x < 6 - 14

⇒ -2x < -8

⇒ 2x > 8

[ Sign is reversed because we are multiplying a negative number on both sides ]

⇒ x > 8/2

⇒ x > 4

Hence the values of x which are greater than 4 will satisfy the above condition.

But according to the question, x ∈ { -3, -2, -1, 0, 1, 2, 3 }

Hence there are no values greater than 4.

Hence there are no solutions for the given condition.

⇒ Solution Set = { } or Null Set ( Ф )