You know that the sum of -5 amd another integer is a positive integer. what can you conclude about the sign of the other integer? what can you conclude about the value of the other integer? explain

We might directly answer the question by solving the inequality

So, the other number must be an integer greater than 5, and thus it must be positive.

From an intuitive point of view, we knew that the other number had to be positive. In fact, if you think of the numbers sitting on the number line, -5 sits five units to the left of 0. If we add a negative number, we go to the left, if we add a positive number, we go to the right. Since we want the result to be positive (i.e. to the right of 0), we have to go to the right, and so the unknown number must be positive.

Also, if we are 5 units to the left of 0, and we want to end to the right of 0, we must "walk" at least 6 steps, so that we fill the negative gap and end on the other side.

he used the algebra tiles correctly.

step-by-step explanation:

given : 3x(2x-1)

solution :

since he used algebra tiles .

armando's solution is the same in the solution shown in figure

as he distributed 2x into x and x and wrote them vertically

and also write   -1 vertically

and 3x into x and x and x and wrote it horizontally

performing the multiplication in the algebra tiles we get

and solving the given expression :

3x(2x-1)

since solving the expression using tiles   and solving the expression algebraically we get the same answer

thus   we can choose the first statement as the answer to this problem which is "he used the algebra tiles correctly".

step-by-step explanation: