Questions: 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 c represent the number of acres of corn. Identify two inequalities that represent this situation.

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 c represent the number of acres of corn. Identify two inequalities that represent this situation.

Transcript text: 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 $c$ represent the number of acres of corn. Identify two inequalities that represent this situation.

Solution

Solution Steps

Step 1: Understand the Problem

We need to identify two inequalities that represent the situation where Adam will plant up to 41 acres on his farm with wheat and corn, and fewer than 28 acres will be planted with corn.

Step 2: Translate the Problem into Inequalities

The total number of acres planted with wheat and corn should not exceed 41 acres. This can be represented by the inequality: \[ w + c \leq 41 \]
The number of acres planted with corn should be fewer than 28 acres. This can be represented by the inequality: \[ c < 28 \]

Step 3: Match the Inequalities with the Given Options