Question

solve the inequality. graph the solution.\\(-2t - 5 < 9\\)\
the solution is \\(\square\\).

Explanation:

Step1: Add 5 to both sides

$-2t - 5 + 5 < 9 + 5$
$\implies -2t < 14$

Step2: Divide by -2, reverse inequality

$\frac{-2t}{-2} > \frac{14}{-2}$
$\implies t > -7$

Step3: Graph setup: open dot at -7, shade right

(Use the open dot symbol pointing right, placed at -7 on the number line)

Answer:

The solution is $t > -7$
For the graph: Place an open circle at $-7$ on the number line, and draw an arrow pointing to the right (towards positive infinity) to represent all values greater than $-7$.