Please Please help! I am so beyond stuck. I have figured out what is wrong with the first step but I cant figure out what is going on with the second one!

Step-by-step explanation:

So we have the equation:

First, note that since the sign is greater than, this is an or inequality (not an "and" inequality). This is the student's first mistake.

So, let's solve this inequality.

Case 1:

Subtract 1 from both sides:

Divide both sides by -4:

The student did not flip the sign when doing this step, hence the incorrect answer.

You correctly spotted the student's mistake. Nicely done!

Case 2:

This is what you're missing: for this second instance, we must flip the sign to less than right away. This is because we are essentially multiplying the 3 by a negative. So, we must flip the sign in order to be correct.

Now solve. Subtract 1 from both sides:

Divide both sides by -4. Since we're dividing by a negative, flip the sign:

So, our solutions are:

As mentioned previously, this is an or inequality. Therefore, our final answer is:

Edit: Improved Answer

i will pick c put check it over to be sure

step-by-step explanation:

the largest number of the four options is 1.8 x 10-2

you have it in scientific notation.

1.80 x 10-6   = 0.00000180

1.80 x 10-4   = 0.000180 (bigger, or "less small", than the former one)

so

1.8 x 10-2       = 0.0180. as you see. the "less small", or the biggest one of them all.

as you have negative exponent, it means you are dividing 1.8 by 100 (i.e. moving the dot towards left, two times).

if you had positive exponent for the scientific notation, power of tenths, you would be multiplying times 100 (moving the dot towards right) as below:

1.8 x (10)2 = 180

so. if you have negative exponent in scientific notation, move the dot toward left. if it is positive, toward right as many times the exponent tells you.