Select all the ordered pairs that are solutions to the following system of inequalities. 3x - 2y > 5
y < 4x + 7

a. (-2, 6)
b. (0, -8)
c. (-5, -11)
d. (-1, -7)

step-by-step explanation:

your mom

we have three similar triangles, because each has a right angle and shares an angle.   let's write the angles in order: opposite to short leg, long leg, hypotenuse.

cab similar to bad similar to cbd

or as ratios,

ca: ab: cb = ba: ad: bd = cb: bd: cd

we also know

ac = ad + cd

(ad+cd): ab: cb = ba: ad: bd = cb: bd: cd

(ad+cd)/cb=cb/cd

we have cb=6, ad=5 and seek x=cd.

we reject the negative root and conclude x=4

answer: 4