What is a compound inequality that represents all real numbers that are greater than -8 but less than 8

The inequality is "-8 < x < 8" that can also be expressed as x > - 8 and x < 8

Step-by-step explanation:

In this case there are two inequalities. The first one is for all real numbers that are greater than -8. In this case we will represent the real numbers as "x" and this inequality can be represented as:

x > - 8

The second inequality is for all real numbers that are less than 8, this can be represented as:

x < 8

To create the compound inequality we have two use both of the inqualities above:

-8 < x < 8

x > - 8 and x < 8

In this case we use and because the real number must satisfy both inequalities at the same time.

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

answer: b.36 feet

step-by-step explanation: