Question

Which values are solutions to the inequality below? Check all that apply

x2 > 16

A. -2
B. -4
C. -5
D. 2
E. 4
F. 5

Answer 1

The correct answers are:

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[C]: "-5 " ; AND:

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[F]: " 5 " .

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Step-by-step explanation:

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Given:

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" x² > 16 " ;

We can simply this "inequality" by taking the square root of each

side:

√(x²) > √16 ;

to get:

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|x| > 4 ;

So, the correct answers are: [C]: "-5 " ; and [F]: "5" ; since when "x" equals "5" or "-5" ; the left-hand side of the inequality equals "5" ; and 5 is greater than "4" ; so when "x = 5 " or when "x = -5" ; the inequality holds true.

Consider choices: [A]: "- 2" ; and: [D]: " 2" . When "x = -2" or "x = 2" , the left-hand side of the inequality equals "2" ; and "2" is LESS than "5"—NOT greater than— "5". So; choices [A] & [D] are incorrect.

Consider choices: [B]: "- 4" ; and: [E]: " 4" . When "x = -4" or "x = 4" , the left-hand side of the inequality equals "4" ; and "4" is LESS than "5"—NOT greater than—"5". So; choices [B] & [E] are incorrect.

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The correct answers are:

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[C]: "-5 " ; AND:

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[F]: " 5 " .

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Answer 2

x² > 16

First, isolate the x. Root both sides

√x² > √16

Simplify

x > 4

x is any number that is greater (not including) 4.

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F) 5 is your only answer, because all other answers are less than 4

hope this helps