Question

a farmer has 28 baskets of apples already and can pick 6 baskets of apples each day. in how many days will he have more than 50 baskets to sell? write and solve an inequality for the number of days. graph the solutions on a number line.

Explanation:

Step1: Set up the inequality

Let \(d\) be the number of days. The total number of baskets is \(28 + 6d\). We want \(28+6d>50\).

Step2: Solve the inequality for \(d\)

Subtract 28 from both sides: \(6d>50 - 28\), so \(6d>22\).
Divide both sides by 6: \(d>\frac{22}{6}=\frac{11}{3}\approx3.67\).

Answer:

The inequality is \(28 + 6d>50\) and the solution is \(d>\frac{11}{3}\). On a number - line, we draw an open circle at \(\frac{11}{3}\) (or approximately \(3.67\)) and shade to the right.