Question

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

Answer 1

Answer:

x>10/7

Step-by-step explanation:

distribute first:

6x+x+2>12

Combine like terms:

7x+2>12

Subtract 2 on both sides:

7x>10

Divide both sides by 7:

x>10/7

Answer 2

Answer to Problem: $6x+\frac{1}{4}(4x+8)>12$

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

So this says any number larger than 10/7 is a solution.

A graph to represent the solution:

                                O~~~~~~~~~~~~~~~~~~~~ x>10/7

---------------------------(10/7)---------------------

Step-by-step explanation:

We are given:

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

I'm going to distribute first:

$6x+x+2>12$

Combine like terms:

$7x+2>12$

Subtract 2 on both sides:

$7x>10$

Divide both sides by 7:

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

So this says any number larger than 10/7 is a solution.

A graph to represent the solution:

                                O~~~~~~~~~~~~~~~~~~~~ x>10/7

---------------------------(10/7)---------------------

I used an open circle because there wasn't a line under the inequality (no line under to represent equals).