Question
upstudy study bank question image url

(1) Consider the inequality \( t+9 \leq 12 \). (a) Make a list of 5 possible solutions for \( t \).

Ask by Dickson Fernandez. in the United States
Jan 27,2025

Real Tutor Solution

Tutor-Verified Answer

Answer

Possible solutions for \( t \) are: 1. \( t = -5 \) 2. \( t = 0 \) 3. \( t = 2 \) 4. \( t = 3 \) 5. \( t = 1.5 \)

Solution

To solve the inequality \( t + 9 \leq 12 \), follow these steps: 1. **Isolate \( t \):** \[ t + 9 \leq 12 \\ t \leq 12 - 9 \\ t \leq 3 \] This means that any value of \( t \) that is **less than or equal to 3** satisfies the inequality. ### (a) Five Possible Solutions for \( t \): Here are five different values for \( t \) that satisfy \( t \leq 3 \): 1. **\( t = -5 \)** \[ -5 + 9 = 4 \leq 12 \quad \text{(True)} \] 2. **\( t = 0 \)** \[ 0 + 9 = 9 \leq 12 \quad \text{(True)} \] 3. **\( t = 2 \)** \[ 2 + 9 = 11 \leq 12 \quad \text{(True)} \] 4. **\( t = 3 \)** \[ 3 + 9 = 12 \leq 12 \quad \text{(True)} \] 5. **\( t = 1.5 \)** \[ 1.5 + 9 = 10.5 \leq 12 \quad \text{(True)} \] All these values of \( t \) satisfy the original inequality \( t + 9 \leq 12 \).

Reviewed and approved by the UpStudy tutoring team

error msg
Explain
Simplify this solution

The Deep Dive

To solve the inequality \( t + 9 \leq 12 \), we first subtract 9 from both sides, resulting in \( t \leq 3 \). Now, let’s find 5 possible solutions for \( t \): 1. \( t = 0 \) 2. \( t = 1 \) 3. \( t = 2 \) 4. \( t = 3 \) 5. \( t = -5 \) All these values satisfy the inequality, as they are less than or equal to 3!

Latest Algebra Questions

Try Premium now!
Try Premium and ask Thoth AI unlimited math questions now!
Maybe later Go Premium
Study can be a real struggle
Why not UpStudy it?
Select your plan below
Premium

You can enjoy

Start now
  • Step-by-step explanations
  • 24/7 expert live tutors
  • Unlimited number of questions
  • No interruptions
  • Full access to Answer and Solution
  • Full Access to PDF Chat, UpStudy Chat, Browsing Chat
Basic

Totally free but limited

  • Limited Solution
Welcome to UpStudy!
Please sign in to continue the Thoth AI Chat journey
Continue with Email
Or continue with
By clicking “Sign in”, you agree to our Terms of Use & Privacy Policy