Respuesta :

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

we have

[tex]2.5-1.2x < 6.5-3.2x[/tex]

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

[tex]3.2x-1.2x < 6.5-2.5[/tex]

Combine like terms

[tex]2x < 4[/tex]

[tex]x < 2[/tex]

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

All real number less than [tex]2[/tex]

The answer in the attached figure

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