Posted by **Hope** on Wednesday, June 3, 2009 at 3:57pm.

Solve the compound inequality.

-9 (less than or equal to) -3x - 9 (less than or equal to) 15

I totally forget how to solve inequalities, please help! Thanks!

- Algebra -
**bobpursley**, Wednesday, June 3, 2009 at 4:04pm
-9<= -3x-9<=15

add 9 to each component.

0<=-3x<=24

divide by -3

0>x>8

check that.

- Algebra -
**~Emily~**, Wednesday, June 3, 2009 at 4:25pm
This is what I got:

0(greater than or equal to)x(greater than or equal to) -8

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

(less than or equal to)=(LTorET)

(greater than or equal to)=(GTorET)

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

1. I broke it up into 2 problems

-9(LTorET)-3x-9 and -3x-9(LTorET)15

2.I solved the first problem by adding 9 to both sides. Then I had

0(LTorET)-3x

3.I divided both sides by -3 which equaled

0(GTorET)x

~~note: Flip the sign when dividing or multiplying by a negative~~

4. I did the same type of thing with

-3x-9(LTorET)15 which equaled

x(GTorET)-8

5. I got the answer:

0(GTorET)x(GTorET)-8

OR

x(LTorET)0 and x(GTorET)-8

~~however you want to write that~~

If you go to google and look up how to solve compound inequalities there are some good pages there.

- Algebra -
**bobpursley**, Wednesday, June 3, 2009 at 4:35pm
-8 on the right is correct.

## Answer This Question

## Related Questions

- algebra - 2x + 3y is less than or equal to 6 solve b=6c for c The length of a ...
- Math - Tanker boats cannot be in the bay when the depth of water is less or ...
- algebra 2 - 1. 5x+2>3x+10 =x>4 2. 8+2x< or equal too 6x-20 x> or ...
- Algebra - The three-part inequality a < x ¡Ü b means "a is less than x and x ...
- College Algebra/Inequalities - solve the inequality x+3/x-2 less then or equal ...
- math/algebra - solve the compound inequality. 2x-7 / 6 is less than or equal to...
- Solving inequalities - I have to solve the following inequalities: x^2 + y^2 is ...
- Math - Responding back as requested: This is all I was provided Solve the ...
- College Algebra - How do you solve this to graph the system of inequalities? x+...
- alegbra II - 14. Solve the inquality -3(r-11) + 15 equal or greater than 9. 15....

More Related Questions