Respuesta :
Step-by-step explanation:
6b < 42 or 4b + 12 > 8
6b < 42
= 6b/6 < 42/6
= b < 7
4b + 12 > 8
=4b - 12 + 12 < -12+8
= 4b > - 12 + 8
= 4b > -4
= 4b/4 = -4/4
b > -1
so
7 > b > -1
The solution of the compound inequality 6b < 42 or 4b + 12 > 8 is -1 < b < 42.
What is the inequality?
The inequality represent the relationship between two expression, it can represent by < is less than > is greater than.
The inequality is;
[tex]\rm 6b < 42\\\\\dfrac{6b}{6} < \dfrac{42}{6}\\\\b < 7[/tex]
The solution of the inequality 6b < 42 is b < 7.
The inequality is;
[tex]\rm 4b + 12 > 8\\\\4b+12-12 > 8-12\\\\4b > -4\\\\\dfrac{4b}{b} > \dfrac{-4}{4}\\\\b > -1[/tex]
The solution of the inequality 4b + 12 > 8 is b > -1.
So combining both conditions, the compound equality will be:
-1 < b < 42
It depicts b is greater than -1 and smaller than 42.
Hence, the solution of the compound inequality 6b < 42 or 4b + 12 > 8 is -1 < b < 42.
Learn more about inequality here;
https://brainly.com/question/13704693
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