Solve the inequality and graph the solution.
5r–10≤10
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.
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Solve:
5r − 10 ≤ 10
Add 10 to both sides: 5r ≤ 20
Divide by 5: r ≤ 4
Solution set: r ≤ 4 (or in interval notation: (−∞, 4]).
Graph: on a number line put a closed (filled) dot at 4 and draw a ray extending to the left with an arrow (showing all numbers less than or equal to 4).
5r − 10 ≤ 10
Add 10 to both sides: 5r ≤ 20
Divide by 5: r ≤ 4
Solution set: r ≤ 4 (or in interval notation: (−∞, 4]).
Graph: on a number line put a closed (filled) dot at 4 and draw a ray extending to the left with an arrow (showing all numbers less than or equal to 4).
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