I think this question has a typo because none of the multiple choice answers fit.

The question is which of the following values is in the solution set of inequality 8-7x<-6?
A) -3 B)-2 C)2 D)-6

A if you plug in -3 you get
29<-6 no
B) 8+14<-6 no
c) 8-14<-6 so -6<-6 no
D) 8+42<-6 no
Did I do something wrong or are there no correct answers?
Thank you

8-7x<-6

-7x < -6 -8

-7x < -14

x = 2

x can be any number smaller than 2.

http://www.mathsisfun.com/algebra/inequality-solving.html

so is there one of the multiple choice questions that are correct, since three numbers in the multiple choice that are less than 2. As you see above

Thank you

Ahh -- but the other solutions are negative number. The answer for c, 2, is the only solution that is positive.

I went on the website you showed me. It said when you mult. or divide a neg, like -7x you change the sign, so shouldn't it be that x>2.

I am really confused

when you check your answer and put 2 in to do a check it comes out

8-7x<-6
8-7(2)
8-14<-6
-6<-6
this is not true unless it was greater than or equal to, that is why I believe there is no correct answer to the question. Isn't that right?

Based on the information you provided, it appears that none of the given answer choices satisfy the inequality 8-7x < -6. Let's go over the steps to solve this inequality and verify the solution set.

To solve the inequality 8-7x < -6, we can follow these steps:

Step 1: Subtract 8 from both sides of the inequality:
8 - 7x - 8 < -6 - 8
-7x < -14

Step 2: Divide both sides of the inequality by -7. Remember to flip the direction of the inequality when dividing by a negative number:
-7x / -7 > -14 / -7
x > 2

According to the solution x > 2, none of the given answer choices (A) -3, (B) -2, (C) 2, or (D) -6 satisfy the inequality. Therefore, you were correct in concluding that there are no correct answers.