Question

Which number line represents the solution to 2.5 – 1.2x < 6.5 – 3.2x?

Answer 1

2.5 – 1.2x < 6.5 – 3.2x

-1.2x + 3.2x < 6.5 - 2.5

3.2x - 1.2x < 4

2x < 4

x < 4/2

x < 2

Answer 2

we have

`2.5-1.2x < 6.5-3.2x`

Group terms that contain the same variable, and move the constants to the opposite side of the inequality

`3.2x-1.2x < 6.5-2.5`

Combine like terms

`2x < 4`

`x < 2`

The solution is the interval-------> (-∞,2)

All real number less than
`2`

The answer in the attached figure