Solve the compound inequality.

or

In other words, from 3, including it, until infinity.

Step-by-step explanation:

or

Let's solve each individually.

Divide by -2 and flip the inequality sign. (Note: you only flip it when you are multiplying or dividing by negative numbers.)

add 18 on both sides.

Divide by 3, do not flip the inequality sign because the number is positive.

We are left with;

or

b.-4 units

all you   do is count how many times you move

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