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Solve the inequality:

[tex]\( 2x + 6 \leq 14 \)[/tex]

Sagot :

GinnyAnswer
Vamos a resolver la desigualdad [tex]\( 2x + 6 \leq 14 \)[/tex] paso a paso.

1. Restar 6 a ambos lados de la desigualdad:
[tex]\[ 2x + 6 - 6 \leq 14 - 6 \][/tex]
Simplificando ambos lados, obtenemos:
[tex]\[ 2x \leq 8 \][/tex]

2. Dividir ambos lados por 2:
[tex]\[ \frac{2x}{2} \leq \frac{8}{2} \][/tex]
Simplificando la división, obtenemos:
[tex]\[ x \leq 4 \][/tex]

Por lo tanto, la solución de la desigualdad [tex]\( 2x + 6 \leq 14 \)[/tex] es:
[tex]\[ x \leq 4 \][/tex]

En términos de intervalos, esto se puede representar como:
[tex]\[ (-\infty, 4] \][/tex]

Es decir, [tex]\( x \)[/tex] puede ser cualquier número menos infinito hasta 4, inclusive.
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