Respuesta :


[tex] - x + 8 > 6[/tex]
subtract 8 on both sides

[tex] - x > - 2[/tex]
then divide -x on both sides
then you get

[tex]x < 2[/tex]
when you divide or multiply by a negative the sign would flip in this case it went from greater than to less than.
calculista

Answer:

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

Step-by-step explanation:

we have

[tex]-x+8 > 6[/tex]

solve for x

Multiply by [tex]-1[/tex] both sides

[tex]x-8 < -6[/tex]

Adds [tex]8[/tex] both sides

[tex]x < -6+8[/tex]

[tex]x < 2[/tex]

The solution is the interval--------> [tex](-infinite,2)[/tex]

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

In a number line, the solution is the shaded area to the left of the dashed line at [tex]x=2[/tex] (open circle)

see the attached figure

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