Question

solve the following inequality and graph the solution.
$4(x + 4) - 4 > - 6(x - 3) + 14$

select the correct choice and fill in the answer box to complete your choice.

a. $x \geq \square$

b. $x \leq \square$

c. $x < 3.6$

d. $x > \square$

Explanation:

Step1: Expand both sides

$4x + 16 - 4 > -6x + 18 + 14$

Step2: Simplify both sides

$4x + 12 > -6x + 32$

Step3: Add $6x$ to both sides

$4x + 6x + 12 > 32$
$10x + 12 > 32$

Step4: Subtract 12 from both sides

$10x > 32 - 12$
$10x > 20$

Step5: Divide by 10

$x > \frac{20}{10}$
$x > 2$

Answer:

D. $x > 2$