Question

Solve the inequality –a < –2.
A. a < 2
B. a < –2
C. a > 2
D. a > –2

Answer 1

-a < -2

To solve for this, we can simply divide both sides by -1, so that y is by itself.

**Remember : when dividing by negative numbers, we must switch the sign. So, if our sign is ">" then it switches to "<" and if our sign is "<" then it switches to ">".**

So, let's divide! 

$\dfrac{-a}{-1} < \dfrac{-2}{-1}$

Simplify and switch our sign!

$a > 2$

Therefore, our answer is C. a > 2

Answer 2

- a < - 2

multiply with - on both sides

-(-a) > -(-2) ( - multiply ineqality changes)

a > 2. (option C )