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

Solution:

Given, the inequality is 2.5 - 1.2x < 6.5 - 3.2x

We have to represent the solution in the number line.

By grouping,

2.5 - 1.2x < 6.5 - 3.2 x becomes -1.2x + 3.2x < 6.5 - 2.5

x(3.2 - 1.2) < 6.5 - 2.5

2x < 4

Dividing by 2 on both sides,

x < 2

The number line representation of the solution is

Therefore, the solution in the interval (-∞, 2).

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

Summary:

The solution to 2.5 - 1.2x < 6.5 - 3.2x lies in the interval (-∞, 2).