Question

it takes sarah 2hours to make small purses and 3hours to make big purses. She has a maximum of 18hours a week. Which inequality represents this situation?

Answer 1

$9x = 18$

$or$

$6y = 18$

Answer 2

Answer:

2x+3y\leq 18

Step-by-step explanation:

• Let x= number of hours required to make a purse
• Then, it will take 2 hours to make a small purse. We can write this as 2x
• and 3 hours to make a big purse. We can write this as 3x.
• The total number of hours Sarah has =18, thus to make the combined purses it must take less than or equal to 18 hours. (\leq )
• Thus, the final inequality can be written as: 2x+3y\leq 18

What are inequalities?

• inequality in mathematics is an expression of an order connection between two integers or algebraic expressions (greater than, greater than or equal to, less than, or less than or equal to). Inequalities can be expressed as questions, similar to equations, and solved using comparable methods. They can also be solved in the form of theorems.