Question

jayden is planting flowers in the backyard. he has already planted 26 flowers, and wants to plant 7 flowers every day. for how many days does he need to plant flowers to plant exactly 54 flowers? write the solution to the inequality. $7d + 26 = 54$ $d = 4$ $7d + 26 \leq 54$ $d \square 4$ (with a dropdown for the square containing $\leq$, $\geq$, $>$, $<$)

Explanation:

Step1: Solve the equation for reference

We first solve the equation \(7d + 26=54\). Subtract 26 from both sides: \(7d=54 - 26=28\). Then divide both sides by 7: \(d = \frac{28}{7}=4\).

Step2: Analyze the inequality \(7d + 26\leq54\)

Subtract 26 from both sides of the inequality: \(7d\leq54 - 26 = 28\). Then divide both sides by 7 (since 7 is positive, the inequality sign remains the same): \(d\leq\frac{28}{7}=4\). So the inequality \(7d + 26\leq54\) simplifies to \(d\leq4\).

Answer:

\(d\leq4\) (the symbol to fill in the box is \(\leq\))