Solve the inequality and graph the solution.
3j–7≥–13
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.
To solve the inequality 3j - 7 ≥ -13, we will first isolate j.
Adding 7 to both sides of the inequality, we get:
3j - 7 + 7 ≥ -13 + 7
3j ≥ -6
Next, we divide both sides of the inequality by 3:
(3j)/3 ≥ (-6)/3
j ≥ -2
Therefore, the solution to the inequality is j ≥ -2.
To graph this solution on a number line, we will draw a ray starting from -2 and extending towards positive infinity. Since the inequality is greater than or equal to -2, we will plot a closed circle at -2 and draw an arrow to the right to indicate that the ray continues indefinitely.
Here is how the graph should look like:
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