Question

Solve the compound inequality 6b < 42 or 4b + 12 > 8.

A. b < 6 or b > 5

B. b < 7 or b > −1

C. b < 7 or b > 1

D. b > 6 or b < 5

Answer 1

The correct answer to this question is this one: "B. b < 7 or b > −1."

First: 6b < 42
So this makes,
6b < 42
6b < -42
b < 7

Second: 4b + 12 > 8

So this makes

4b + 12 > 8

4b > 8-12

4b > -4

b > -1

All we did in this one was solve both pieces as if they were EQUALITIES. The INequalities don't have to be frightening.

Answer 2

Inequalities help us to compare two unequal expressions. The solution of the given compound inequality is b < 7 or b > −1. The correct option is B.

What are inequalities?

Inequalities help us to compare two unequal expressions. Also, it helps us to compare the non-equal expressions so that an equation can be formed. It is mostly denoted by the symbol <, >, ≤, and ≥.

The compound inequality b<42 or 4b+12>8 can be solved by breaking it into two parts and then solving each one differently.

6b<42

b < 42/6

b < 7

Therefore, the value of b should be less than 7.

4b+12>8

4b> 8 -12

4b > -4

b > -4/4

b> -1

Therefore, b should be greater than -1.

Since the compound inequality has an 'or' operator in between them, therefore, any one of the two conditions given above should be followed.

Hence, the solution of the given compound inequality is b < 7 or b > −1.

Learn more about Inequality here:

https://brainly.com/question/19491153

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