Question

Solve 2(x - 3) < 1, xe {1, 2, 3, ..., 10}.​

Answer 1

Answer:

x=1,2,3

Step-by-step explanation:

2x -6<1

2x<7

x<7/2

x<3.5

But since x belongs to 1 to 10

Hence possible values x = 1,2,3

Answer 2

Given :

inequation , 3x - 11 < 3, where x belongs to (1, 2, 3, ..., 10)

To Solve :

Solve the inequality & represent it on Number line

Solution :

Given inequality is :

3x - 11 < 3

Adding 11 on both sides

3x - 11 + 11 < 3 + 11

3x < 14

Dividing by 3 on both sides

3x/3 < 14/3

x < 14/3

x < 4.66666

Since , x belongs to (1, 2, 3, ..., 10)

values of x that will satisfy inequality should be less that 4.666

Hence Values of x are 1 , 2 ,3 ,4

Solution is also represented on number line