To solve the inequality -5y > 20, follow these steps:
1. Divide both sides of the inequality by -5. Remember that when you divide by a negative number, you need to flip the direction of the inequality sign. In this case, the inequality becomes y < -4.
2. The solution to the inequality y < -4 represents all the numbers that are less than -4 on the number line.
To graph the solution to the inequality, draw an open circle on -4 and shade the area to the left of -4 on the number line. This indicates that any value less than -4 is a solution to the inequality.
To choose a number from the solutions on the graph to substitute and check in the original inequality, you can pick any value less than -4. For example, let's choose -5.
Substitute -5 into the original inequality: -5(-5) > 20. Simplify the equation: 25 > 20. Since 25 is greater than 20, the inequality is true when y = -5.
In words, the solution to the inequality y < -4 means that any number less than -4 is a solution. When you substitute a value less than -4, such as -5, into the inequality, the inequality holds true.