Tuesday

March 31, 2015

March 31, 2015

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

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 11:02amJan, 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.

**Answer this Question**

**Related Questions**

algebra - 2x + 3y is less than or equal to 6 solve b=6c for c The length of a ...

Algebra--Correction? - Solve x^2 -3x is greater than or equal to 10 Would the ...

algebra 2 - 1. 5x+2>3x+10 =x>4 2. 8+2x< or equal too 6x-20 x> or ...

algebra--1 question - Choose the compound inequality all real numbers that are ...

math - State the null hypothesis, Ho, and the alternative hypothesis, Ha, that ...

Algebra - Solve the compound inequality. -9 (less than or equal to) -3x - 9 (...

alegbra II - 14. Solve the inquality -3(r-11) + 15 equal or greater than 9. 15....

algebra - use the inequality -4t-8 is less than or equal to 12 a. t is greater ...

Math - Tanker boats cannot be in the bay when the depth of water is less or ...

help - 2x-3/8 less then or equal to-8 or 2x-3/8 greater then or equal to 4 what ...