Question

solve and graph the following inequality.
\frac{4}{3}x>4

select the correct choice below and fill in the answer box to complete your choice. (type an integer or a simplified fraction.)
a. the solution set is {x|x≥}.
b. the solution set is {x|x≤}.
c. the solution set is {x|x<}.
d. the solution set is {x|x>}.

Explanation:

Step1: Isolate the variable x

Multiply both sides of the inequality $\frac{4}{3}x>4$ by $\frac{3}{4}$. Since $\frac{3}{4}>0$, the direction of the inequality sign remains the same. So, $x > 4\times\frac{3}{4}$.

Step2: Calculate the right - hand side value

$4\times\frac{3}{4}=3$. So, $x>3$.

Answer:

D. The solution set is $\{x|x > 3\}$