Question

Find all real numbers x such that

Answer 1

\[6x - 21 \le -3\] or \[14x + 11 \le -17\]

Answer 2

Ok. Your turn.

Answer 3

Not really looking for answers, I keep trying this and it comes out wrong. I just want to know what I'm doing wrong. Would you mind checking my work?

Answer 4

What did you get when you solved the first one for x?

Answer 5

\[x \le 3\]

Answer 6

And the second?

Answer 7

\[x \le -2\]

Answer 8

What I keep getting wrong is the graphing it on the number line.

Answer 9

So since this is a conjunction, the solution is the union of the two parts. So we need to put the two parts together: All of the numbers that are less than 3 together with all the numbers that are less than -2.

Answer 10

What are those numbers?

Answer 11

Sorry. This is a disjunction. Not conjunction.

Answer 12

I think it would look like this...