Our given inequality is:
-7x < -42
To solve for the inequality, we need to simplify for x and ensure we've carefully answered the question.
Currently, x is being multiplied by -7.
To get x by itself, we need to perform the opposite of what's being done.
Remember, what you do to one side of an equation/inequality, you must do to the other.
The opposite of multiplying is dividing.
Divide -7x by -7 to get x.
-7x / -7 = x
-42 / -7 = 6 (Dividing a negative by a negative makes a positive, the same goes with multiplying)
You're left with x < 6
When we divide/multiply by a negative, we need to flip the inequality with the opposite value.
Your final inequality is:
x _> 6
I hope this helps you. :)
First you want to break down both numbers to prime factors so for 10 you would get 10=2x5 and 14 you would get 14=2x7 then you will want to take the greatest common factor of both which is 2 because it is the only factor that is shared between the two then you take the two beginning numbers and divide them by 2 because it is the greatest common factor and 5/7 is your anwser
To the risk of sounding redundant,
and surely you'd know what that is.
C is the right answer and they all share point O.
