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solve the inequality and graph the solution. j + 36 ≥ 37. to draw a ray…

Question

solve the inequality and graph the solution. j + 36 ≥ 37. 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 j

Subtract 36 from both sides of the inequality $j + 36\geq37$.
$j+36 - 36\geq37 - 36$

Step2: Simplify the inequality

$j\geq1$

To graph the solution:

  • The endpoint is at $j = 1$. Since the inequality is $\geq$, the endpoint is a closed - circle.
  • The ray extends to the right (towards positive infinity) because $j$ is greater than or equal to 1.

Answer:

The solution of the inequality is $j\geq1$. On the number - line, plot a closed circle at 1 and draw a ray to the right.