Question

SYTEM OF INEQUALITIES , 65 points.
HELP

Answer 1

`2x+3y\geq 60\\x>10`

Explanation:

We know that she will be selling bracelets for $2 each and earrings for $3 each. That means we will have 2x+3y, where x is the number of bracelets she sells and y is the number of earrings she sells. Then we will have
`\geq 60` because she wants to sell at least $60 worth of earrings and bracelets. That means the amount she makes from bracelets and earrings combined has to equal 60 or more, thus we use the greater than or equal to sign.

Now we have
`x>10`, where x is still the number of bracelets sold. She said she will sell more than 10, which means we will just have
`>10`. If she said she wanted to sell at least 10, then it would be
`\geq10`.

Therefore the system of inequalities is:

`2x+3y\geq60\\x>10`

Hope this helps!