91Ó°ÊÓ

We have given the following inequality :-

$f-\frac{13}{20}<-\frac{5}{12}$.

To solve this inequality add $\frac{13}{20}$on both sides, then we have :-

$$\begin{gathered} f-\frac{13}{20}+\frac{13}{20}<-\frac{5}{12}+\frac{13}{20} \\ ⇒f<\frac{7}{30} \end{gathered}$$

So the solution interval is $\left(-∞,\frac{7}{30}\right)$.

Representation of solution on number line is as following :-

Here we have given the following inequality :-

$9tâ‰\yen -27$

To solve the inequality divide both sides by 9, then we have :-

localid="1644669268014" $$\begin{gathered} \frac{9t}{9}â‰\yen \frac{-27}{9} \\ ⇒tâ‰\yen -3 \end{gathered}$$

So the solution interval is localid="1644670097208" $[-3,∞)$.

Representation of solution on number line is as following :-

Here we have following inequality :-

$\frac{7}{6}jâ‰\yen 42$

To solve the inequality multiply both sides by $\frac{6}{7}$, then we have :-

$$\begin{gathered} \frac{7}{6}j*\frac{6}{7}â‰\yen 42*\frac{6}{7} \\ ⇒jâ‰\yen 36 \end{gathered}$$

So the solution interval is $[36,∞)$.

Representation of solution on number line is as following :-