The set {5, 6, 8, 9, 10} is part of a solution set for which inequality?

A. c+14<24

B. c+18≥24

C. c+18>24

D. c+14≤24
please help

The four inequalities have the following solutions:

A.

B.

C.

D.

Try to match these conditions with your set. For example, option A is surely wrong, because it claims that we only want number which are less than 10, but 10 itself is in our set. Similarly, option B is wrong, because it only allows numbers greater than or equal to 6, but our set contains 5.

Applying this logic, try to see if the answer is C or D!

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the correct option is 2.

step-by-step explanation:

according to the given information triangle abc is a right angle triangle with right angle at a. segment ab is 5 and segment ac is 7. point d is on segment bc and angles adb and adc are right angles.

it is given that triangles abd, cad, and cba are similar.

two triangles are similar if their corresponding sides are proportional.

in triangle cba, using pythagoras theorem

                      )

triangle abd and cba are similar,

                            (2)

triangle cad and cba are similar,

                      )

using (1), (2) and (3), we get

hence proved.

therefore option 2 is correct.