Carmen can buy bottles of paint for $2.00 each and boxes of colored pencils for $3.50 each. She can spend no more than $42 on art supplies.a. Write an inequality that shows how many bottles of paint, x, and boxes of colored pencils, y, Carmen can buy. b. Name three different solutions to the inequality.

Answer:Step-by-step explanation:Let x = the number of bottles of paint that Carmen can buyLet y = the number of boxes of colored pencils that Carmen can buyA bottle of paint costs $2A box of colored pencils costs $3.50She can spend no more than $42 on art supplies. This means She can buy bottles of paint worth 2×x = $2xShe can buy boxes of colored pencils worth 3.5 × y = $3.5ySince the total amount she can spend cannot exceed $42, the equation becomes2x + 3.5y lesser than or equal to 42This is shown in the attached photob) three different solutions to the inequality would be three different possible values that x and y can take. These arex = 7 while y = 8x = 10 while y = 6x = 14 and y = 4