Solve the inequality and type the solution in interval notation. No spaces!
11 ≤ 3x + 5 ≤ 23

Question

Solve the inequality and type the solution in interval notation. No spaces!
11 ≤ 3x + 5 ≤ 23

anonymous · Answer

please help!!!!

jim766 · Answer

this is a compound inequality, really two inequalities

$$11\le3x + 5       $$   and $$3x + 5 \le23$$

do you see where I got them?

anonymous · Answer

you added right

jim766 · Answer

now just solve each

this is a compound inequality, really two inequalities

$$11\le3x + 5       $$  
 -5                -5

$$6\le3x$$

 and $$3x + 5 \le23$$
      -5       -5

$$3x \le18$$

anonymous · Answer

aw my fault you subtracted 5 from both sides

jim766 · Answer

you can also do it like this

     11<= 3x + 5<=23
     -5            - 5      -5

     6 <= 3x <= 18
     --     --        --
      3      3          3

     2 <= x <= 6

anonymous · Answer

so then i would combine those 3 for the answer?

jim766 · Answer

I am not sure what they mean by interval notation

but I think the way I wrote it at the end is this

2 <= x <= 6        it means x is greater than = to 2 and less than = to 6

anonymous · Answer

like this? (2,6)

jim766 · Answer

no, that means just 2 and 6, it also means that one is x and one is y

jim766 · Answer

like this  [2, 6[

anonymous · Answer

aw ok i see

anonymous · Answer

thank you