Question

linear inequtions
8th class questions​

Answer 1

Answer:

x = {1, 2, 3}

Step-by-step explanation:

We have,

(5x/3) + 2 ⩾ x + 4, x ∈ N

Now, solving for x,

(5x/3) + 2 ⩾ x + 4

Taking LCM = 3

(5x/3) + (6/3) ⩾ x + 4

(5x + 6)/3 ⩾ x + 4

5x + 6 ⩾ 3(x + 4)

5x + 6 ⩾ 3x + 12

5x - 3x ⩾ 12 - 6

2x ⩾ 6

x ⩾ 6/2

x ⩾ 3

And since x ∈ N,

x = {1, 2, 3}

Hence,

x can have the values 1, 2, and 3.

Hope it helped and believing you understood it....All the best.