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complete the following statement. use the integers that are closest to …

Question

complete the following statement. use the integers that are closest to the number in the middle.
□ < -√71 < □

Explanation:

Step1: Find nearest perfect squares

$64 < 71 < 81$

Step2: Take square roots of all terms

$\sqrt{64} < \sqrt{71} < \sqrt{81}$
$8 < \sqrt{71} < 9$

Step3: Multiply by -1 (reverse inequalities)

$-9 < -\sqrt{71} < -8$

Answer:

$-9 < -\sqrt{71} < -8$