Posted by **jan kopelman** on Monday, July 26, 2010 at 4:52pm.

solve the compound inequality.

2x-7 / 6 is less than or equal to -7, or 2x-7 / 6 is greater than or equal to 5

I came up with -35/2 or 37/2 but it's incorrect. help?!!

- math/algebra -
**Henry**, Tuesday, July 27, 2010 at 11:02am
Jan, your answers has no meaning

without the inequality signs.

I solved this problem with the

assumption that (2X - 7) is the numerator and 6 is the denominator.

If not , then our answers will be wrong.

GIVEN: -7 >= (2X-7) / 6 >= 5.

Multiply by 6:

-42 >= 2X -7 >= 30.

Add 7 to center and both sides:

-42 + 7 >= 2X -7 +7 >= 30 + 7.

Combine terms:

-35 >= 2X >= 37.

Divide center and both sides by 2:

-35 / 2 >= X >= 37 / 2.

You have the correct numbers, but

you'll have to show inequality signs.

A 2nd interpretation:

GIVEN: -7 >= 2X -7/6 >= 5.

Add 7/6 to center and both sides:

-7 + 7/6 >= 2X -7/6 +7/6 >= 5 + 7/6.

-42/7 + 7/6 >= 2X >= 30/6 + 7/6

Combine like-terms:

-35/6 >= 2X >= 37/6.

Multiply center and both sides by 6:

-35 >= 12X >= 37.

Divide both sides and center by 12:

-35/12 >= X >= 37/12.

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