Question

6. Which inequality represents the solution

to 1.25x + 2.5 < 2.75x – 6.5?
A)x>6 B)x> 2.25 C)x<6
D)x < 2.25

Answer 1

A) x > 6 is the SOLUTION of the given inequality.

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.