7X+4>-13 or 9x+4>-23

Question

The solution of the compound inequality is ? I am totally lost!!!!!!!!

Answer 1

All you have to do is solve each inequality, then pick all values for x that satisfy either one.

7x+4 > -13
7x > -17
x > -17/7

9x+4 > -23
9x > -27
x > -3

So, any x that is greater than -17/7, or which is greater than -3, solves the problem. Now, since -17/7 > -3, any value > -17/7 also satisfies the 2nd inequality.

So, the final solution is x > -3. Any value above -3 satisfies one or the other inequality. If you graph the intervals on the number line, you'll see they overlap.

Answer 2

Do I use the [ ] or the () on the number line?