4/5x-2>3/10*2x
4/5x-2>3/5x (3/10*2=3/5)
-2>-1/5x (subtract the 4/5x)
10<x (divide by -1/5 and change sign)
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. :)
Step-by-step explanation:
<em><u>C.x=86.113</u></em>
