Question

linear inequalities
solving a word problem using a one - step linear inequality
lisa buys candy that costs $6 per pound. she will spend less than $42 on candy. what are the possible numbers of pounds she will buy?
use p for the number of pounds lisa will buy.
write your answer as an inequality solved for p.

Explanation:

Step1: Define the cost equation

The cost of candy is $6 per pound, and the number of pounds is \( p \). So the total cost is \( 6p \) dollars.

Step2: Set up the inequality

Lisa spends less than $42, so \( 6p < 42 \).

Step3: Solve for \( p \)

Divide both sides of the inequality by 6: \( \frac{6p}{6} < \frac{42}{6} \), which simplifies to \( p < 7 \).

Answer:

\( p < 7 \)