Question

Jose solved the inequality 3>x+4 and got x<1.Then,to check his solution,he subtituted -2 into the original inequality to check his solution.Since his check worked,he believes that his answer is correct.Describe another check Jose could perform that will show his solution is not correct.Then explain how to solved the inequality.

Answer 1

 3   > x + 4
-4         - 4
-1  > x

x < 1
++++

3 > -2 + 4
3 > 2

-2 < 1
++++

To show that Jose's solution is not correct, let x = -1

3 > x + 4
3 > -1 + 4
3 > 3   * this is not correct because 3 is not greater than 3. It is equal to 3. 

x should not be equal to -1 or more than it because it will make the inequality incorrect. Any number that is below -1 will make the inequality equation correct.