Question #0e470

1 Answer
Feb 2, 2018

6<=x

Explanation:

After writing the inequality, solve it like a regular equation for x:

3(x+3)<=5x-3
Distribute the 3 on the left side:
3x+9<=5x-3

Combine like terms by subtracting 3x and adding 3 to both sides:
12<=2x
Divide both sides by 2:
6<=x

So 6 is the lowest possible value for x.
You can verify this by plugging 6 in to see if the original statement is true: 3(6+3)<=5(6)-3
=> 3(9)<=30-3
=> 27<=27
So 6 works!

You can try it with a lower number like 5 if you want to see if 6 is really the lowest. (It is!)