how do you solve -4x-8<4?
Add 8 to both sides. This gives -4x<12. Now divide both sides by -4 and REMEMBER, when you multiply or divide by a negative, you MUST change the direction of the inequality sign. So you final answer is x>-3. Now go back to original problem and test some values. What about zero? Zero is greater than -3. If I plug in x=0, I get -8<4, which is TRUE. What about x= -5? -4 x -5 = 20 and 20 - 8 = 12, which is NOT less than 4. So, x>-3 certainly feels right based on our tests.