Question

Solve 14 – 3x ≥ 2 + x, x ∈ W and plot it on a number line

Answer 1

Answer :

x € { 0 , 1 , 2 , 3 }

Solution :

We have ;

=> 14 - 3x ≥ 2 + x , x € W

=> 14 - 2 ≥ 3x + x , x € W

=> 12 ≥ 4x , x € W

=> 4x ≤ 12 , x € W

=> x ≤ 12/4 , x € W

=> x ≤ 3 , x € W

=> x € { 0 , 1 , 2 , 3 }

♦ The whole numbers which are smaller than or equal to 3 are : 0 , 1 , 2 , 3 .

For representation on number line , please refer to the attachment .

Answer 2

Answer:

x is smaller than 3

14-3x ≥ 2+x

14-2 ≥ 3x + 1x

12 ≥ 4x

3 ≥ x

replacement set is x= { 0,1,2,3 }