Answer:
-9/2 < x < -3/5
Step-by-step explanation:
So first, we take the left part of the inequality to solve and ignore the right part for now, which leaves us 6x + 3 < x.
1. Subtract 3 from both sides:
6x < x - 3
2. subtract x from both sides:
5x < -3
3. divide 5 from both sides:
x < -3/5
Then, we do the same thing as part 1, but this time with x < 3x + 9.
1. Subtract 9 from both sides:
x - 9 < 3x
2. subtract x from both sides:
-9 < 2x
3. divide both sides by 2:
-9/2 < x.
Notice how we have a value that x is less than and a value that x is greater than. So now, all we have to do is to put the two inequalities together, leaving only one x in the middle. Hence, -9/2 < x < -3/5.
I hope this helped! :D
