Question

Help.

Answer 1

\[3x - 5 \le x + 3 < 5x - 9\]
x belongs to real numbers.

Answer 2

Subtract 3 to all sides

Answer 3

\(3x-5 -3 \le x \le 5x-9-3\)

Answer 4

Simplify, can you do that?

Answer 5

@AaronAndyson

Answer 6

\[3x - 8 \le x \le 5x - 12\]

Answer 7

@rvc

Answer 8

@ilovewolf

Answer 9

@bibby
@ilovewolf

Answer 10

@dtan5457

Answer 11

@Directrix

Answer 12

The thread posts leave off with:

3x -8 ≤ x < 5x - 12 --> the second inequality symbol is < and not ≤ as written above

Answer 13

What does that ? mean

Answer 14

\[3x - 8 \le x \le 5x - 12\]

Answer 15

@Directrix

Answer 16

Correct the symbol in your work. See attachment.

Answer 17

ok
so now?

Answer 18

\[3x - 8 \le x \le 5x - 12\]

Answer 19

In the problem you posted, you wrote "less than"

but now you write less than or equal to.

According to what you posted as the problem.

This is where you should be now:

---------------------------
3x -8 ≤ x < 5x - 12
--------------------------

Answer 20

3x -8 ≤ x < 5x - 12

means the following:

3x - 8 ≤ x AND x < 5x - 12

3x -x ≤ 8 AND x - 5x < -12

2x ≤ 8 AND -4x < -12

x ≤ 4 AND x > 3

Answer 21

Putting these together to get the answer:

x ≤ 4 AND x > 3

becomes

3 < x ≤ 4 ---> Solution to Compound Inequality

Answer 22

@AaronAndyson

Answer 23

You are welcome.

Answer 24

THANKS!!!!!!!!!!!!!