Question

Class 11
Linear inequations

Answer 1

HELLO THERE!

Here's your answer:

(i) 9x - 25 ≤ 7 + 3x

=> 9x - 3x ≤ 7 + 25
=> 6x        ≤ 32
=> x          ≤ 5.3

Now, since x ∈ I, only integers can be taken.

So, solution set is:
x = {......-3, -2, -1, 0, 1, 2, 3, 4, 5}, x ∈ I




(ii) 4(x + 5) > -10

=> 4x + 20 > -10
=> 4x         > -30
=> x           > -7.5

So, the solution set is:
x = {-7, -6, -5, -4, -3, -2, -1, 0, 1, 2, 3, 4...........}, x ∈ I

Answer 2

Hi ,

x € I

i ) 9x - 25 ≤ 7 + 3x

9x - 3x ≤ 7 + 25

6x ≤ 32

x ≤ 32/6

x ≤ 5.33...

<-------------------------|------|------|-------•--------->

<------------------------------------4-------5

ii ) 4( x + 5 ) > -10

4x + 20 > - 10

4x > - 10 - 20

4x > - 30

x > -30/4

x > - 7.5

< |•-----------|-----|-----|-------------->
- 7------------>

I hope this helps you.

: )