Question

solve the inequality and graph the solution.
3 + 2t < -1
to draw a ray, plot an endpoint and select an arrow. select an endpoint to change it from closed to open. select the middle of the ray to delete it.

Explanation:

Step1: Subtract 3 from both sides

$3 + 2t - 3 < -1 - 3$
$2t < -4$

Step2: Divide both sides by 2

$\frac{2t}{2} < \frac{-4}{2}$
$t < -2$

Step3: Graph the solution

• Plot an open endpoint at $t=-2$ (since the inequality is strict, no equality).
• Draw a ray pointing left from $-2$ (to represent all values less than $-2$).

Answer:

The solution to the inequality is $t < -2$. For the graph: an open circle at $-2$ on the number line, with an arrow pointing to the left toward negative infinity.