what value of x is in the solution set of the inequality 4x - 12 ≤ 16 + 8x? -10 -9 -8 -7

what value of x is in the solution set of the inequality 4x - 12 ≤ 16 + 8x? -10 -9 -8 -7

what value of x is in the solution set of the inequality 4x - 12 ≤ 16 + 8x? -10 -9 -8 -7

Answer

Explanation:

Step1: Reorganizar términos

Comenzamos resolviendo la desigualdad $4x - 12\leq16 + 8x$. Restamos $4x$ de ambos lados: $4x-4x - 12\leq16 + 8x-4x$ $- 12\leq16 + 4x$

Step2: Isolar la variable

Luego, restamos 16 de ambos lados: $-12-16\leq16 - 16+4x$ $-28\leq4x$

Step3: Calcular el valor de x

Dividimos ambos lados por 4: $\frac{-28}{4}\leq\frac{4x}{4}$ $- 7\leq x$

Answer:

D. -7