Solve the compound inequality.

Question

<−3x69 and >−4x4−8

Answer 1

Going off the comment you followed up with,, need to solve for x for 3x-6<9 and 4x-4>-8.

Simplifying to make things easier:

For the first inequality

3x-6<9 (original) turns into

x-2<3 (divided both sides by 3)

x<5 (added 2 to both sides)

For the second inequality

4x-4>-8 (original) turns into

x-1>-2 (divided both sides by 4)

x>-1 (added 1 to both sides)

So x is less than 5 and is also greater than -1, so on a number line x would fill in everything between -1 and 5.

If the edge cases are required:

Since the inequality symbols were > and < (less than, greater than) not >= and <= (less than and equal to, greater than and equal to), x does not equal either 5 and -1. This would mean drawing an unfilled circle at -1 and 5 on the number line.