Question

solve the inequality and graph the solution.
2 + 5t > -3
plot the endpoints. select an endpoint to change it from closed to open. select the middle of the segment, ray, or line to delete it.
(number line from -5 to 5 with tick marks at each integer)

Explanation:

Step1: Isolate the variable term

Subtract 2 from both sides:
$2 + 3x - 2 > -3 - 2$
$3x > -5$

Step2: Solve for x

Divide both sides by 3:
$\frac{3x}{3} > \frac{-5}{3}$
$x > -1$

Step3: Graph the solution

• Plot an open circle at $x=-1$ (since the inequality is $>$, not $\geq$)
• Draw a shaded ray extending to the right from $x=-1$ to represent all values greater than -1.

Answer:

$x > -1$
(Graph: Open circle at $x=-1$, shaded ray to the right)