Wilmer spends at least 13 hours reading for his assignments each week, plus 1 hour completing each reading response assignment. the inequality that represents the total number of hours, y, wilmer reads for his various assignments each week is y≥x+13, where x represents the number of reading response assignments he completes.

this week, wilmer can spend only 5 hours total reading for his various assignments.

which explanation correctly analyzes whether there is a solution for this scenario?

there is no solution. for the inequality to be true, the value of x has to be negative. this is impossible because wilmer can't have a negative number of reading response assignments.

the ordered pair (−8,5) is a solution to the inequality y≥x+13. this ordered pair shows that wilmer can complete 8 reading responses in the 5 hours.

the ordered pair (5,18) is a solution to the inequality y≥x+13. this ordered pair shows that wilmer can complete 18 reading responses in the 5 hours.

there is no solution. for the inequality to be true, the value of x has to be a fraction. this is impossible because wilmer can't have a fractional number of reading response assignments.

A. There is no solution. For the inequality to be true, the value of x has to be negative. This is impossible because Wilmer can't have a negative number of Reading Response assignments.

1 = x

Step-by-step explanation:

x-5(x-1) = x-(2x-2)

First, you distrubute your numbers. On the left side, multiply the parentheses by '5', and on the right side multiply the perentheses by '-1'. It should look something like this:

x-5x+5 = x-2x+2

Now, you need to combine like terms. On the left side combine the 'x' and the '-5x'. On the right side combine the 'x' and the '-2x'. It should now look like this:

-4x+5 = -x+2

You need to isolate your variable. Working with positive variables is preferable and can decrease chances of confusion, so add '4x' to both sides, therefore canceling the '-4x' on the left and moving it to the right. It will now look like this:

5 = 3x+2

Subtract '-2' from both sides to get the '3x' by itself. It looks like this:

3 = 3x

For the final step, you want the x by itself. To do this, divide both sides by '3'. This will effectively cancel the '3' on the right side, moving it away from your variable. Your equation should end up being this:

1 = x

Hope this helps!