kopekgamer6573
Answered

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-3x-8>19?I have to solve for x











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Sagot :

rococo908

Answer:

x < -9

Step-by-step explanation:

Add 8 to both sides:

-3x - 8 > 19

-3x > 27

Divide each side by -3:

-3x > 27

Dividing by a negative number on each side switches the inequality:

x < -9

So, the answer is x < -9

Answer:

[tex] \huge \: x < - 9[/tex]

[tex]\huge \: x \in (-∞,-9)[/tex]

Step-by-step explanation:

to understand this

you need to know about:

  • inequality
  • PEMDAS

given:

  • [tex]-3x-8>19[/tex]

tips and formulas:

the direction of inequality doesn't change when you

  • Add (or subtract) a number from both sides
  • Multiply (or divide) both sides by a positive number
  • Simplify a side

the direction of inequality does change when you

  • Multiply (or divide) both sides by a negative number
  • Swapping left and right hand sides

let's solve:

[tex]step - 1 : define \\ -3x-8>19[/tex]

[tex]step - 2 : \\ add \: 8 \: to \: both \: sides[/tex]

[tex]-3x-8 + 8>19 + 8[/tex]

[tex] - 3x >27 [/tex]

[tex]step - 3 \: \\ divide \: both \: sides \: by \: - 3 \: and \: swap \: the \: inequality[/tex]

[tex] \huge \therefore \: x < - 9[/tex]

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