Step-by-step explanation:
Inequalities are solved just like equations the only difference is that the inequality sign has to be considered.
We are writing the steps with reason
So,
1. Given
[tex]-38-3(x+5)>6x-17[/tex]
2. Distributive property:
[tex]-38-3x-15>6x-17[/tex]
3. Combine like terms
[tex]-3x-53>6x-17[/tex]
4. Subtraction property of order
[tex]-3x-53-6x>-17[/tex]
[tex]-9x-53> -17[/tex]
5. Addition property of order
[tex]-9x> -17+53[/tex]
[tex]-9x>36[/tex]
6. Division property of order
[tex]x<-4[/tex]
Keywords: Inequality, Properties
Learn more about inequalities at:
- brainly.com/question/3398261
- brainly.com/question/3614284
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