Solve the inequality and graph the solution.
3j+10≤19
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 + 10 ≤ 19, we can start by isolating the variable j by subtracting 10 from both sides:
3j + 10 - 10 ≤ 19 - 10
3j ≤ 9
Next, we divide both sides of the inequality by 3 to solve for j:
(3j)/3 ≤ 9/3
j ≤ 3
The solution to the inequality is j ≤ 3.
To graph the solution, we will draw a number line. We will plot a closed circle at 3 and draw an arrow to the left to show that all values less than or equal to 3 are solutions. Here is the graph:
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3
The shaded region to the left of the closed circle represents the solutions to the inequality j ≤ 3.