Respuesta :

Answer:

x < 2

Step-by-step explanation:

Given

5(x - 2) < - 3x + 6 ← distribute parenthesis on left side

5x - 10 < - 3x + 6 ( add 3x to both sides )

8x - 10 < 6 ( add 10 to both sides )

8x < 16 ( divide both sides by 8 )

x < 2

Hey there!☺

[tex]Answer:\boxed{x<2}[/tex]

[tex]Explanation:[/tex]

Let's start by simplifying both sides of the inequality:

[tex]5x-10<-3x+6[/tex]

Now add 3x to both sides:

[tex]5x-10+3x<-3x+6+3x\\8x-10<6[/tex]

In our third step, we will add 10 to both sides:

[tex]8x-10+10<6+10\\8x<16[/tex]

In our last step, we will divide both sides by 8:

[tex]\frac{8x}{8}=\frac{16}{8}[/tex]

Simplify 16/8:

[tex]\frac{16}{8}=2\\ x<2[/tex]

x<2 is your answer.

Hope this helps!☺

[tex]\text{-TestedHyperr}[/tex]

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