Solve for x: 6x + --(4x + 8) > 12 1
4
Ox>
10
7
Ox>2
Oxs 10
<< 19
0x<2

x > 10/7

Step-by-step explanation:

Take LCM and do cross Multiplication. You will get,

24x + 4x + 8 > 48

or, 28x > 40

or, x > (40/28)

This gives, x > 10/7

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