Math
posted by Lisa on .
I have two different questions.
what is the set built notation of 11x24<2710x
and
write the slope intercept equation for the line with slope 5/6 and y intercept (0,4)

11x24<2710x
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 yintercept, the equation can be simply stated as
y = (5/6)x + 4 
11x24 < 2710x
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,
slopeintercept form is:
y = mx + b
where b is the yintercept (ycoordinate of the yintercept) and m is the slope,, thus:
y = (5/6)x + 4
hope this helps. :)