Respuesta :

eric

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]

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