Question

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

Answer 1

The correct answer is x>-2.  The graph is attached.

To solve this:

-x/2 + 3/2 < 5/2

Subtract 3/2 from both sides:
-x/2 + 3/2 - 3/2 < 5/2 - 3/2
-x/2 < 2/2
-x/2 < 1

Multiply both sides by 2:
(-x/2)*2 < 1*2
-x < 2

Divide both sides by -1:
-x/-1 < 2/-1

Remember to flip the the symbol since you divide both sides by a negative:
x > -2

To graph the inequality, we draw a number line, making sure we have -2 on it.  We circle -2 and leave it open, since it is strictly greater than.  Then we shade the line to the left.