Question

Solve the inequality 14a/11>4/3, and write the solution in interval notation

Answer 1

Answer:

$a > \frac{22}{21}$

Step-by-step explanation:

Given the inequality function $\frac{14a}{11}>\frac{4}{3}$, to write the inequality in interval notation, we need to first get the solution to the inequality as shown;

$\frac{14a}{11}>\frac{4}{3}\\cross\ multiply\\14a \times 3 > 11 \times 4\\42a >44\\divide \ both \ sides \ by \ 42\\\frac{42a}{42} > \frac{44}{42}\\ a>\frac{22}{21}$

Hence the expression in interval notation is $a > \frac{22}{21}$