SOLUTION: Jane is thinking of a number between -10 and 10. If you multiply Jane’s number by -2, then subtract 2, the result is greater than 6. Which of the following statements must also b

Algebra ->  Rate-of-work-word-problems -> SOLUTION: Jane is thinking of a number between -10 and 10. If you multiply Jane’s number by -2, then subtract 2, the result is greater than 6. Which of the following statements must also b      Log On


   

Question 969360: Jane is thinking of a number between -10 and 10. If you multiply Jane’s number by -2, then subtract 2, the result is greater than 6. Which of the following statements must also be true? please explain
A. Jane’s number is less than -4.
B. Jane’s number is greater than -4.
C. Jane’s number is greater than 2.
D. Jane’s number is less than -2.
E. Jane’s number is 0.
Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
It is A. Here is why.
Jane's number is x
Multiply it by -2 = -2x
Subtract 2 = -2x-2
This is an inequality -2x-2 >6
Add 2 to both sides -2x>8
divide by 2 and reverse the inequality: x <-4
Test with -5
Multiply by -2 =10
subtract 2=8 >6
Key: divide or multiply by negative number, must reverse inequality.
2<3
Multiply both by (-1)
-2 is > than -3. You must change the inequality with division or multiplication by a negative number.