[tex]\huge\fbox{Hello~there!}[/tex]
Let's solve this inequality!
[tex]\rm{-x+20>-7+35[/tex]
What can we do to solve this inequality? Well, first of all, we can add -7 and 35:
[tex]\rm{-x+20>28[/tex]
Now, move 20 to the right, using the opposite operation:
[tex]\rm{-x>28-20[/tex]
Subtract:
[tex]\rm{-x>8[/tex]
Divide both sides by -1 to isolate x:
[tex]\rm{x<-8}[/tex] (Answer)
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Additional comment
When we divide both sides of an inequality by a negative number, we flip the inequality sign.
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I hope you find it helpful.
Feel free to ask if you have any questions.
[tex]\bf{-MistySparkles^**^*[/tex]