Order of operations/ Is the number an equation or inequality?

2a-3=2;4

9y-3>24;3

Ok, I think you're expected to evaluate the value on the right in the expression and see what the relation symbol should be. Substitute 4 for a in the first one and 3 for y in the second and tell us what you think the symbol in the middle should be.

To determine the order of operations and whether the given expressions are equations or inequalities, we need to substitute the given values and evaluate the expressions.

Let's start with the first expression: 2a - 3 = 2; 4

We are asked to substitute 4 for a in the expression. So, we replace all occurrences of "a" with 4:

2(4) - 3 = 2; 4

Now we can simplify the expression:

8 - 3 = 2; 4

5 = 2; 4

Since 5 is not equal to 2, the two sides of the expression are not equal, and hence, the expression 2a - 3 = 2; 4 is not an equation. Instead, it becomes an inequality.

Now let's move on to the second expression: 9y - 3 > 24; 3

We are asked to substitute 3 for y in the expression. So, we replace all occurrences of "y" with 3:

9(3) - 3 > 24; 3

Again, we simplify the expression:

27 - 3 > 24; 3

24 > 24; 3

Since 24 is not greater than 24, the inequality 9y - 3 > 24; 3 is not true. Therefore, based on the substitution, the inequality symbol should be "≤" (less than or equal to) instead of ">" (greater than).

In summary:

1. For the expression 2a - 3 = 2; 4, we substitute 4 for a and find that it is not an equation but becomes an inequality.
2. For the expression 9y - 3 > 24; 3, we substitute 3 for y and find that the inequality symbol should be "≤" instead of ">" based on the substitution.