Question

Solve for x: 6x + one over four(4x + 8) > 12 x > ten sevenths x > 2 x < ten sevenths x < 2

Answer 1

Answer:

x > ten sevenths

Step-by-step explanation:

We want to solve for x in the inequality:

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

We multiply through by 4 to clear the fraction.

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

$\implies 24x+1(4x+8)>48$

$\implies 24x+4x+8>48$

Group similar terms to get:

$\implies 24x+4x>48-8$

$\implies 28x>40$

$\implies x>\frac{40}{28}$

$\implies x>\frac{10*4}{7*4}$

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

The first choice is correct

Answer 2

Answer:

The correct option is 1.

Step-by-step explanation:

The given inequality is

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

We need to solve the inequality for x.

Using distributive property we get

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

$6x+x+2>12$

Combine like terms.

$7x+2>12$

Subtract 2 from both sides.

$7x>12-2$

$7x>10$

Divide both sides by 7.

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

x > ten sevenths

Therefore, the correct option is 1.