Question

ifx€{-3,-2,-1,0,1,2,3} find the solition set of 2x-1<4​

Answer 1

$2x - 1 < 4 \\ 2x < 5 \\ x < 2.5$
Hence from the given set
x€{-3,-2,-1,0,1,2}

Answer 2

Answer:

Condition : x ∈ { -3, -2, -1, 0, 1, 2, 3 }

Solution of Set A = { 2x - 1 < 4 }

Since we are required to find the solution set, we need to substitute the given values of x in the Set A such that condition is fulfilled. The values that fulfill the condition are the solution Set of A.

1 ) x = -3

⇒ 2x - 1 = 2 ( -3 ) - 1 = -6 - 1 = -7

We know that -7 < 4. Hence -3 is one of the solution of Set A.

2 ) x = -2

⇒ 2x - 1 = 2 ( -2 ) - 1 = -4 - 1 = -5

We know that -5 < 4. Hence -2 is one of the solution of Set A.

3 ) x = -1

⇒ 2x - 1 = 2 ( -1 ) - 1 = -2 - 1 = -3

We know that -3 < 4. Hence -1 is one of the solution of Set A.

4 ) x = 0

⇒ 2x - 1 = 2 ( 0 ) - 1 = 0 - 1 = -1

We know that -1 < 4. Hence 0 is one of the solution of Set A.

5 ) x = 1

⇒ 2x - 1 = 2 ( 1 ) - 1 = 2 - 1 = 1

We know that 1 < 4. Hence 1 is one of the solution of Set A.

6 ) x = 2

⇒ 2x - 1 = 2 ( 2 ) - 1 = 4 - 1 = 3

We know that 3 < 4. Hence 2 is one of the solution of Set A.

7 ) x = 3

⇒ 2x - 1 = 2 ( 3 ) - 1 = 6 - 1 = 5

We know that 5 > 4. Hence 3 is not a solution.

Since after x = 2, none of them satisfy the condition, the solution set ends here.

Hence the solution set A = { -3, -2, -1, 0, 1, 2 }