Posted by **Lisa** on Wednesday, November 10, 2010 at 7:45pm.

I have two different questions.

what is the set built notation of -11x-24<27-10x

and

write the slope intercept equation for the line with slope -5/6 and y intercept (0,4)

- Math -
**Reiny**, Wednesday, November 10, 2010 at 9:59pm
-11x-24<27-10x

-11x + 10x < 27 + 24

-x < 51

x > -51

I will let you put into the notation you are familiar with

second one:

since you are given the slope and the y-intercept, the equation can be simply stated as

y = (-5/6)x + 4

- Math -
**jai**, Wednesday, November 10, 2010 at 9:59pm
-11x-24 < 27-10x

combine similar terms:

-11x + 10x < 27 + 24

*when transposing terms to other side of equation, the sign must become the opposite*

then,

-x < 51

multiply by -1 to get positive x:

x > -51

*note that when all terms are multiplied or divided by a NEGATIVE number, the inequality sign becomes the opposite*

thus x is all real number greater than -51 or (-51, +infinity)

for the second question,

slope-intercept form is:

y = mx + b

where b is the y-intercept (y-coordinate of the y-intercept) and m is the slope,, thus:

y = (-5/6)x + 4

hope this helps. :)

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