Answer:
[-6,-3]
Step-by-step explanation:
So we have the compound inequality:
Let's solve for each of the inequalities:
1)
We have:
Subtract x from both sides:
Subtract 7 from both sides:
So that's one of our answers.
2)
We have:
Subtract 3x from both sides:
Subtract 4 from both sides:
Divide both sides by -2. Since we're dividing by a negative, flip the sign:
Therefore, our entire answer is:
This means all values in between -3 and -6 including -3 and -6.
In interval notation, this is:
So, A is -6.
And B is -3.
And we're done :)