Question

Solve the inequality. Graph the solution.

$-2t–5<9$

Answer 1

Step 1 : Solve the inequality

We have, $-2t–5<9$

$\Rightarrow -2t–5+5<9+5$ [ Add $5$ both sides ]

$\Rightarrow -2t<14$

$\Rightarrow \frac{-2t}{-2}>\frac{14}{-2}$ [ Divide both sides by $-2$ and reverse the sign of inequality ]

$\therefore t>-7$

Step 2 : Draw the graph

We have, $t>-7$

So, the graph is

Hence, the required solution is $t>-7$ and the required graph is shown above.