Question

Solve for x: 6x + 1 over 4 (4x + 8) > 12

Answer 1

Answer:

A. $x>\frac{10}{7}$.

Step-by-step explanation:

We have been given an inequality $6x+\frac{1}{4}(4x+8)>12$. We are asked to solve the given inequality for x.

Using distributive property, we will get:

$6x+\frac{1}{4}*4x+\frac{1}{4}*8>12$

$6x+x+2>12$

$7x+2>12$

Subtract 2 from both sides:

$7x+2-2>12-2$

$7x>10$

Divide both sides by 7:

$\frac{7x}{7}>\frac{10}{7}$

$x>\frac{10}{7}$

Therefore, option A is the correct choice.