Question

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

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Answer 1

`\huge \: x < - 9`

`\huge \: x \in (-∞,-9)`

Explanation:

to understand this

you need to know about:

• inequality
• PEMDAS

given:

• 
  `-3x-8>19`

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:

`step - 2 : \\ add \: 8 \: to \: both \: sides`

`-3x-8 + 8>19 + 8`

`- 3x >27`

`step - 3 \: \\ divide \: both \: sides \: by \: - 3 \: and \: swap \: the \: inequality`

`\huge \therefore \: x < - 9`

Answer 2

x < -9

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