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a is greater than -2

Step-by-step explanation:

Solving a comparison like this is the same as solving an equation, except you need to watch out for the signs of numbers.

Given:

-2a - 12 < -8

The first thing we need to do here is to add 12 to both sides:

-2a - 12 + 12 < -8 + 12

-2a < 4

You'll notice we're just increasing both sides, so the relationship stays the same.

Now we divide both sides by -2.  Because the number is negative, it changes whether the result is greater or less.

-2a < 4

-2a ÷ -2 > 4 ÷ -2

a > -2

Giving us our final answer.