Which Graph Shows the Solution to the Inequality -3x-7<20?

How to Graph the Solution to the Inequality -3x – 7 < 20

Graphing inequalities is an important skill in algebra, and it helps visually represent the range of solutions. Let’s break down how to solve and graph the inequality -3x – 7 < 20

Solving the Inequality

To solve -3x – 7 < 20, follow these steps:

1. Add 7 to both sides: −3x<27
2. Divide both sides by -3, remembering to flip the inequality sign:

   $$x>-9$$

Graphing the Solution

Now that we know x > -9, we can graph the solution on a number line:

1. Open Circle at -9: Since -9 is not included in the solution, we place an open circle at -9.
2. Arrow to the Right: Draw an arrow extending to the right of -9, indicating that x can take any value greater than -9.

Conclusion

To graph the solution to the inequality -3x – 7 < 20, you first solve for x to get x > -9. Then, you represent this solution by drawing an open circle at -9 and extending a line to the right, showing that x can take any value greater than -9.