solutions of inequality's practice

Answer 1

1. Solve the inequality symbolically:
For example, if you have the inequality 2x + 5 > 10, you would start by subtracting 5 from both sides to get 2x > 5. Then, divide by 2 to solve for x and get x > 2.5.

2. Graph the inequality on a number line:
Plot the point where the inequality symbolically changes direction, and then shade the region that satisfies the inequality. For example, if the inequality is x < 3, you would plot a solid dot at 3 on the number line and shade to the left to show all numbers less than 3.

3. Check the solution:
Plug the solution back into the original inequality to make sure it satisfies the inequality. If it does, then the solution is correct. If it does not, then reevaluate the solution.

4. Use interval notation:
Instead of graphing the solution on a number line, you can also write the solution using interval notation. For example, the solution x < 3 would be written as (-∞, 3).