Questions: Manufacturing of seven teddy bears and one accessory takes more than 25 minutes. Manufacturing of the accessory takes 4 minutes. You are to decide the time of manufacturing of one teddy bear.
The following inequality can be used to help solve this problem:
7 t + 4 > 25, where t is time in minutes.
Part: 0 / 2
Part 1 of 2
(a) Solve the inequality. Express numbers as integers or simplified fractions.
7 t + 4 > 25
The solution is
Transcript text: Manufacturing of seven teddy bears and one accessory takes more than 25 minutes. Manufacturing of the accessory takes 4 minutes. You are to decide the time of manufacturing of one teddy bear.
The following inequality can be used to help solve this problem:
$7 t+4>25$, where $t$ is time in minutes.
Part: $0 / 2$
Part 1 of 2
(a) Solve the inequality. Express numbers as integers or simplified fractions.
\[
7 t+4>25
\]
The solution is $\square$
Solution
Solution Steps
To solve the inequality \(7t + 4 > 25\), we need to isolate the variable \(t\). Start by subtracting 4 from both sides of the inequality to simplify it. Then, divide both sides by 7 to solve for \(t\).
Step 1: Isolate the Variable
We start with the inequality:
\[
7t + 4 > 25
\]
Subtracting 4 from both sides gives:
\[
7t > 21
\]
Step 2: Solve for \(t\)
Next, we divide both sides by 7:
\[
t > 3
\]
Final Answer
The solution to the inequality is:
\[
\boxed{t > 3}
\]