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What is the solution set?

What Is The Solution Set class=

Answer :

Step-by-step explanation:

[tex]x \div 4 \leqslant 9 \div x[/tex]

[tex]x ^{2} \leqslant 36[/tex]

[tex]x {}^{2} - 36 \leqslant 0[/tex]

[tex]x {}^{2} { - 6}^{2} \leqslant 0[/tex]

[tex](x + 6)(x - 6) \leqslant 0[/tex]

[tex]x \leqslant - 6 \: \: or \: \: \: x \leqslant 6[/tex]

[tex] - 6 \geqslant x \leqslant 6[/tex]

From the explanation the correct answer is the last one from the question above