Question

Adam will plant up to 41 acres on his farm with wheat and corn. Fewer than 28 acres will be planted with corn.

Let w represent the number of acres of wheat and crepresent the number of acres of corn. Identify two inequalities that represent this situation.

Answer 1

w + c < = 41....because wheat and corn added together is less then or equal to 41 acres

c < 28...because corn will be less then 28 acres

so ur 2 inequalities are : w + c < = 41 and c < 28

Answer 2

Option A
`w+c\leq 41`

Option D
`c <28`

Explanation:

Let

w-------> represent the number of acres of wheat

c-------> represent the number of acres of corn

we know that

`w+c\leq 41` ------> inequality A

`c <28` -----> inequality B

using a graphing tool

The solution of the system of inequalities is the shaded area between the positive values of w and c

see the attached figure