Respuesta :
Hello.
We are solving -9.4 > 1.7x + 4.2.
First we need to swap sides:
[tex]1.7x + 4.2 = -9.4[/tex]
Now we need to subtract 4.2 from both sides.
1.7x + 4.2 = -9.4
-4.2 . -4.2
Now let's combine -4.2 + 4.2 which is 0.
We get 1.7x < -9.4 - 4.2
Now let's divide both sides by 1.7
1.7x | -13.6
1.7 1.7
x < -13.6
1.7
So we just divided to get x < -8.
Answer:
[tex]\boxed{\bold{x<-8}}[/tex]
Step By Step Explanation:
- Switch Sides
[tex]\bold{1.7x+4.2<-9.4}[/tex]
- Multiply Both Sides by 10
[tex]\bold{1.7x\cdot \:10+4.2\cdot \:10<-9.4\cdot \:10}[/tex]
- Refine
[tex]\bold{17x+42<-94}[/tex]
- Subtract 42 From Both Sides
[tex]\bold{17x+42-42<-94-42}[/tex]
- Simplify
[tex]\bold{17x<-136}[/tex]
- Divide Both Sides By 17
[tex]\bold{\frac{17x}{17}<\frac{-136}{17}}[/tex]
- Simplify
[tex]\bold{x<-8}[/tex]