Question

find the solutions of the inequality.
b-3>-1
i need help i dont get this inequality stuff at all....ill award with a MEDAL!! if you can show me how to do this stuff

Answer 1

@IMStuck can you help?

Answer 2

Hi 1990als. My name is Min, I'll be of your assistance today. Since you’re having trouble with inequalities the best thing to remember is that the variables should always be alone on one side. Whether it’s the left side or right side, any sort of letter you see in the equation should be by itself.

Now, as we approach this problem we see that the “b” is accompanied by a “-3”. Since it is a negative 3, we should add 3 to both sides to negate the “-3”, letting the “b” to be alone.

b-3>-1
b-3+3>-1+3
b>2
This is going to be your final solution.

As for graphing, you’re going to first.
>Draw a number line
>Make two the middle
>Circle two, (since this is an open equation)
>Shade to the right, (always the opposite to the arrow)

Hopefully this helps!

Answer 3

It's just like solving an equation. Pretend that it is an equals sign, and start like that. Add 3 to both sides and you get b>2. Just like in an equation. Don't let the inequality sign scare you.

Answer 4

Thank you thank you thank you!!!

Answer 5

the word inequality scares me haha sad i know...

Answer 6

what about \[|x-5| \ge 3\]

Answer 7

is it x>8 or is it x<2? or am i still completely lost i still feel lost...

Answer 8

@IMStuck

Answer 9

Absolute values are going to be a tad different. Since anything inside those two lines are always going to be positive, you should always think that there are two possibilities.

Let me walk you through this with the best of my ability, or as much as text demonstration can help you. Lol.

Okay.

My keyboard doesn’t have the greater than or equal to, so just imagine its there.

|x-5| > 3

Because |x-5| is always going to be positive, whether the insides are equaled to negative values or positive values, you should always think about the result in two ways.

Whether x-5 is positive, or negative.

So we’re going to set up two equations.

x-5 > 3

and

x-5 < -3

The reason for the deviation in equation two, is because if x-5 is going to be negative, the signs have to switch.

Now solving these two equations, we get…

x>8 and x<2

☺

Answer 10

To simply answer your question, it is going to be both of those answers.

Answer 11

you are a lifesaver!