Question

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?

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.

Answer 1

B) Jane's number is GREATER than (-4).

Explanation:

Here, let us assume the number between -10 and 10 = m

Multiplying m with (-2) = -2 m

Subtracting -2 from it, we get: - 2 m - 2

The result should be GREATER THAN 6.

⇒ -2 m - 2 > 6

Now, solving it for the value of m, we get:

-2 m - 2 > 6

Add + 2 on both sides.

-2 m - 2 + 2 > 6 +2 ⇒ - 2 m > 8

Divide by - 2 on both sides.

`(-2m)/(-2) > (8)/(-2) \implies m > -4`

⇒ m > -4

Hence Jane's number is GREATER than (-4).