GarretE274122 GarretE274122
  • 25-10-2022
  • Mathematics
contestada

What is the solution set of x over 4 less than or equal to 9 over x?

Respuesta :

MaxtynO530674 MaxtynO530674
  • 25-10-2022

we have

[tex]\frac{x}{4}\leq\text{ }\frac{9}{x}[/tex]

Multiply in cross

[tex]x^2\leq36[/tex]

square root both sides

[tex](\pm)x\leq6[/tex]

see the attached figure to better understand the problem

the solution is the interval {-6,6}

the solution in the number line is the shaded area at right of x=-6 (close circle) and the shaded area at left of x=6 (close circle)

Ver imagen MaxtynO530674
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