Question

Solve the inequality 2x - 3 < x + 2 ≤ 3x + 5. Show your work.

Answer 1

break it into two.

Answer 2

2x - 3 < x+2
x + 2 ≤ 3x + 5

Answer 3

2x - 3 < x+2
x < 5

then
x + 2 ≤ 3x + 5
- 2x ≤ 3
-3/2 ≤ x

put it back together now
-3/2 ≤ x < 5

Answer 4

thats it?

Answer 5

Do you understand?

Answer 6

not really lol

Answer 7

ok stay with me

Answer 8

2x - 3 < x + 2 ≤ 3x + 5
We are working each part separately
So there is 2x - 3 < x + 2 and x + 2 ≤ 3x + 5
do you get this part?

Answer 9

it is just like saying A = B = C
so it is still right to say A =B and B =C

Answer 10

ooh so you solve each part separetely and then you put the answer together?

Answer 11

yes

Answer 12

oooh which sign do I use to put them together?

Answer 13

the one that is originally there

Answer 14

first
2x - 3 < x+2
x < 5
then
x + 2 ≤ 3x + 5
- 2x ≤ 3
-3/2 ≤ x

put it back together now
-3/2 ≤ x < 5