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solve the inequality and graph the solution. t + 3 ≥ 2 to draw a ray, p…

Question

solve the inequality and graph the solution.
t + 3 ≥ 2
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: Isolate the variable t

Subtract 3 from both sides of the inequality $t + 3\geq2$.
$t+3 - 3\geq2 - 3$

Step2: Simplify the inequality

$t\geq - 1$

To graph the solution on the number - line:

  1. Plot a closed circle at $t=-1$ (because the inequality is $\geq$, which includes the endpoint).
  2. Draw a ray to the right of $t = - 1$ to represent all values of $t$ that are greater than or equal to - 1.

Answer:

The solution of the inequality is $t\geq - 1$. On the number - line, plot a closed circle at - 1 and draw a ray to the right.