Question

Which of the following inequalities are correct please help me ;-;

Answer 1

Answer:

A is correct

Step-by-step explanation:

b has a negative value cause it's before 0

but -b will become a positive value thus >0

example:

b is -1

-b = -(-1)

= 1

hope you understand

Answer 2

Answer:

⇨ Choice A.

Step-by-step explanation:

We'll consider three choices and compare the answers with the given number line and points.

⟺ Choice A

This is the correct answer and here is why.

$-b>0$

Solving Inequality is similar to solving equation. The difference is if the coefficient for the variable is in negative, moving to another side would swap the sign/operator of Inequality.

Thus, our new Inequality would be $b<0$ which is true by the number line itself.

⟺ Choice B

The reason why choice B is not correct because the point a is lesser than the point b. It's obvious that point a cannot be greater than point b.

⟺ Choice C

The reason why choice C is not correct because if we solve the Inequality.

$-b<-c$

We can either solve for b-term or c-term, the outcome would be the same. I'll solve for both terms.

⇨ Solve for b-term

$-b<-c\\b>\frac{-c}{-1}\\b>c$

Also remember that moving a negative coefficient would swap the sign/operator of Inequality.

⇨ Solve for c-term

$-b<-c\\\frac{-b}{-1}>c\\b>c$

As b>c is not true in the number line. We notice that c point is greater than b point.

Thus, the clear answer is A choice.