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

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) (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.
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