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!☺
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