what value of x is in the solution set of the inequality 8x - 6 > 12 + 2x? -1 0 3 5

what value of x is in the solution set of the inequality 8x - 6 > 12 + 2x? -1 0 3 5

what value of x is in the solution set of the inequality 8x - 6 > 12 + 2x? -1 0 3 5

Answer

Explanation:

Step1: Simplificar la desigualdad

Restar $2x$ de ambos lados: $8x - 2x-6>12 + 2x-2x$, lo que da $6x - 6>12$.

Step2: Isolar el término con $x$

Sumar 6 a ambos lados: $6x-6 + 6>12 + 6$, lo que da $6x>18$.

Step3: Resolver para $x$

Dividir ambos lados por 6: $\frac{6x}{6}>\frac{18}{6}$, lo que da $x > 3$.

Answer:

D. 5