The solution to the given inequality is [tex]x<-\frac{20}{9}[/tex].
Step-by-step explanation:
Given inequality is;
-45x+12<112
For solving the inequality, we will subtraction 12 from both sides in step 1;
[tex]-45x+12-12<112-12\\-45x<100[/tex]
Now, we will divide both sides by -45
[tex]\frac{-45x}{-45}<\frac{100}{-45}\\\\x<-\frac{100}{45}\\\\x<-\frac{20}{5}[/tex]
The solution to the given inequality is [tex]x<-\frac{20}{9}[/tex].
Keywords: inequality, division
Learn more about inequalities at:
- brainly.com/question/11286417
- brainly.com/question/12884373
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