Question

Help please with this question

Answer 1

Answer: Oops its the 3rd answer, my explanation is wrong but the first paragraph has some decent info

Explanation:

I could just give you the answer but I want you to intuitively understand it. W is the variable you are looking for, right. So anything shaded on those number lines is going to indicate the value of w. The answer is that w < -6.1

Negative numbers are a little bit tricky when using less and greater than. But basically, less than means closer to 0 and greater than means farther from zero. So this means that w is every single number less than -6.1, or closer to zero and then continuing on in the postive direction.

Now for the little circle on the -6.1:

A circle that is not shaded in means that this value is NOT included. And we can see that the sign is <, not
`\leq`. So we are going to have an open circle from -6.1 that is going closer to zero and beyond. The first answer fits that criteria perfectly

Answer 2

The third graph down

Explanation:

-2.1 w > 12.81

Divide each side by -2.1, remembering to flip the inequality

-2.1w / -2.1 < 12.81/ -2.1

w < -6.1

There is an open circle at -6.1 and the line goes to the left