Answer:
A) x > 6 is the SOLUTION of the given inequality.
Step-by-step explanation:
Here, the given inequality is given as:
1.25 x + 2.5 < 2.75 x – 6.5
Now, solving the given inequality for the value of x, we get:
1.25 x + 2.5 < 2.75 x – 6.5
Add ( -1 .25 x ) on both sides, we get:
1.25 x + 2.5 + ( -1 .25 x) < 2.75 x – 6.5 + ( -1 .25 x)
⇒ 2.5 < 1. 5 x - 6.5
Add ( 6.5 ) on both sides, we get:
2.5 + (6.5) < 1. 5 x - 6.5 + (6.5)
or, 9.0 < 1.5 x
Divide by (1.5 ) on both sides, we get:
6 < x
or, x > 6
Hence, x > 6 is the SOLUTION of the given inequality.
