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Sagot :
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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