Question

Solve and write the solution set and represent in number line
-8 1/2 < - 1/2 -4x ≤ 7 1/2.
i.e
- 17/2 < -1/2 - 4x ≤ 15/2​

Answer 1

Answer:

2.25 > x ≥ 2

Step-by-step explanation:

17/2 < -1 /2 -  4x  ≤  15/2​

Multiplying by 2

17 < -1-8x ≤ 15

Taking first two steps from left

17 < -1-8x

17+ 1 < -8x

18 >8x

or 8x<18

or x < 18/8

x < 9/4

So x is less than 9/4

Taking last two steps from left

-1-8x ≤ 15

-8x ≤ 15+1

8x ≥ 16

x ≥ 16/8

x ≥ 2

Hence  9/4 > x ≥ 2

Or 2.25 > x ≥ 2

see image for number line plot