x=9 is a solution of the inequality x-3 is less than 7 but x= 10 is not a solution

What's your question?

x - 3 < 7

Add 3 to both sides.

x < 10

Thus x = 9 or any lesser value, because 10 is not < 10.

I hope this helps.

To check whether a given value is a solution to an inequality, you substitute the value into the inequality and see if it generates a true or false statement.

In this case, we are given two values, x = 9 and x = 10, and the inequality is x - 3 < 7.

To check if x = 9 is a solution, substitute the value into the inequality:
9 - 3 < 7
6 < 7

Since 6 is indeed less than 7, the statement is true. Therefore, x = 9 is a solution to the inequality.

Now let's check if x = 10 is a solution:
10 - 3 < 7
7 < 7

In this case, 7 is not less than 7. The statement is false. Therefore, x = 10 is not a solution to the inequality.