2b < 8

My answer is that b is less than or equal to 3.9. Is that correct? If not, can you explain why it isn't, please?

b< or = to 3.9 is correct, but you could just say b<4.

Thanks :)

i don't understand it can you show me the steps?

I don get this problem:
4(x-2)<2(x-3)

Sure, let's break down the problem step by step.

4(x-2) < 2(x-3)

First, distribute the 4 and 2 inside their respective parentheses:

4x - 8 < 2x - 6

Next, combine like terms by subtracting 2x from both sides of the inequality:

4x - 2x - 8 < 2x - 2x - 6

Simplify:

2x - 8 < -6

Next, add 8 to both sides of the inequality to isolate the variable:

2x - 8 + 8 < -6 + 8

Simplify:

2x < 2

Finally, divide both sides of the inequality by 2 to solve for x:

(2x)/2 < 2/2

Simplify:

x < 1

So, the solution to the inequality 4(x-2) < 2(x-3) is x < 1.

I hope that helps! Let me know if you have any further questions.