. Marissa is a photographer. She sells framed photographs for $100 each and greeting cards for $5 each. The materials for each framed photograph cost $30, and the materials for each greeting card cost $2. Marissa can sell up to 8 framed photographs and 40 greeting cards each week, but this week, she only has $200 to spend on materials. Marissa hopes to earn a profit of at lest $400 this week after paying for her materials.

Let x = the number of framed photographs.
Let y = the number of greeting cards.
Two of the inequalities that model this situation are x < =8 and y < = 40

Explain your inequalities and explain why x<=8 and y<=40 are also inequalities for this system.

and there are both lines under the <

please help me

The inequalities x <= 8 and y <= 40 are part of the mathematical model that represents the constraints or limitations in this situation.

The inequality x <= 8 means that the number of framed photographs, represented by x, must be less than or equal to 8. Since Marissa can sell up to 8 framed photographs each week, this inequality ensures that she does not exceed that limit.

Similarly, the inequality y <= 40 means that the number of greeting cards, represented by y, must be less than or equal to 40. Marissa can sell up to 40 greeting cards each week, so this inequality guarantees that she stays within that maximum limit.

These inequalities are necessary because they reflect the given constraints in the problem statement. Marissa cannot sell more framed photographs or greeting cards than the specified limits of 8 and 40, respectively. Therefore, these constraints are represented by the inequalities x <= 8 and y <= 40.