Question

How is the solution of 2y equals eight related to the solution of 2y is less than equal to eight? The solution of the equation is y equals blank. This gives you the blank for the solutions of the inequality.

Answer 1

The solution of the equation 2y = 8 is y = 4, and the solution of the inequality 2y ≤ 8 is y ≤ 4.

Step-by-step explanation:

The solution of the equation 2y = 8 is y = 4. This means that when we substitute 4 for y in the equation, both sides of the equation are equal: 2(4) = 8.

The solution of the inequality 2y ≤ 8 is y ≤ 4. This means that any value of y that is less than or equal to 4 will make the inequality true. For example, y = 3 is a valid solution since 2(3) = 6 which is less than 8.

Therefore, the solution for the equation 2y = 8 is y = 4, and the solutions for the inequality 2y ≤ 8 are all values of y that are less than or equal to 4.