8 more than half a number exceeds 6

Answer 1

Step 1: Translate the problem into an equation.

"Half a number" translates to .5x or 1/2x

"8 more than" translates to +8

And "exceeds 6" translates to > 6

Then it's just about putting it in the right order.

So the answer is...

.5x + 8 > 6

Step 2: Use algebra to solve.

We would need to subtract 8 from both sides.

So we now have... .5x > -2

But the x wants to be alone, and it's currently attached to the .5. So you can divide each side by .5

So we now have... x > -4

And that is the final answer.