Question

solve for x : 3 – 2x ≥ x – 12 given that x€N​

Answer 1

Answer:

x <= 5

Step-by-step explanation:

3 - 2x >= x - 12

- 2x - x >= - 12 - 3

- 3x >= - 15

removing negative sign

3x <= 15

x <= 15/3

x <= 5

Answer 2

Answer :-

• The required solution is x ⩾ 5.

Step-by-step explanation :

To Find :-

• The value of x

Solution :-

Given inequation,

• 3 - 2x ⩾ x - 12 and x ∈ N

⟹ 3 - 2x ⩾ x - 12

Transposing 3 from L.H.S to R.H.S,

⟹ - 2x ⩾ x - 12 - 3

Transposing x from L.H.S to R.H.S,

⟹ - 2x - x ⩾ - 12 - 3

Evaluating - 2x and -x,

⟹ - 3x ⩾ - 12 - 3

Evaluating -12 and -3,

⟹ - 3x ⩾ - 15

Transposing 3 from L.H.S to R.H.S,

⟹ - x ⩾ - 15/3

Dividing - ( 15/3 ),

⟹ - x ⩾ - 5

Cancelling common negative signs ( - ) from both R.H.S and L.H.S,

⟹ x ⩾ 5

Hence,

The numbers are, As given, x ∈ N, So,

• { x ∈ N : x ⩾ 5 }

Know more :-

Some important notations :-

• N = Set of all natural numbers.
• W = Set of all whole numbers.
• Z = Set of all integers.
• Q = Set of all rational numbers.