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

Respuesta :

The four inequalities have the following solutions:

A. [tex]c+14<24 \iff c<10[/tex]

B. [tex]c+18\geq 24 \iff c\geq 6[/tex]

C. [tex]c+18>24 \iff c>6[/tex]

D. [tex]c+14\leq 24 \iff c\leq 10[/tex]

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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