Question

cual es el conjunto solucion de la siguiente inecuacion?
$(5x - 3) \div ( - 2) \geqslant x + 26$
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Answer 1

Respuesta:

x ∈ ( 55 / 3 , ∞ ]

Explicación paso a paso:

$\displaystyle{\dfrac{5x-3}{2} \geq x+26}\\\\\\\displaystyle{\dfrac{5x-3}{2}-(x+26) \geq x+26-x-26}\\\\\\\displaystyle{\dfrac{5x-3-2(x+26)}{2} \geq 0}\\\\\\\displaystyle{\dfrac{5x-3-2x-52}{2} \geq 0}\\\\\\\displaystyle{\dfrac{3x-55}{2} \geq 0}\\\\\\\displaystyle{\dfrac{2(3x-55)}{2} \geq 2\times0}\\\\\\\displaystyle{3x-55\geq 0}\\\\\\\displaystyle{3x\geq 55}\\\\\\\displaystyle{x\geq55/3}$

x ≥ 18.33

= > x ∈ ( 55 / 3 , ∞ ]