Question

Solve the given inequality and graph the solution on a number line -x/2 + 3/2 + < 5/2 .

Answer 1

Answers in Image attached

Hope this helps

Answer 2

Well, in that case, here goes...

The first thing I'd do is clear the fractions- that is, I'd multiply each of them by 2 because 2 is the lowest common denominator. 

That leaves you with -x + 3 < 5
Now solving isn't too bad...

-x + 3 - 3 < 5 - 3                 (subtract 3 from both sides)
-x < 2

The x isn't alone! That - is hanging on...so multiply both sides by -1 to get rid of it! 

-x * -1 < 2 * -1          WAIT! We multiplied by a negative!!
-x * -1 > 2 * -1          Had to flip that inequality ofver!

x > -2