Question
upstudy study bank question image url

Tell whether the given value is a solution of the Inequality, \( \begin{array}{ll}\text { 6. } \frac{x}{6} \leq 1 ; x=5 & \text { 7. } 1.4 v>16 ; v=11 \\ \text { 8. } t+9.8 \geq 21.01 ; t=11.1 & \text { 9. } 2 \frac{1}{2}<\frac{m}{30} ; m=90 \\ \text { 10. } \frac{1}{2}>3 p ; p=\frac{1}{6} & \text { 11. } 2.16 \geq 3 z-0.5 ; z=0.6\end{array} \)

Ask by Nguyen Spencer. in the United States
Mar 12,2025

Upstudy AI Solution

Tutor-Verified Answer

Answer

- 6. True - 7. False - 8. False - 9. True - 10. False - 11. True

Solution

Sign in to Unlock Answers for Free!

A Learning Platform Trusted by Millions of Real Students and Teachers.

star-icon Unlock

Answered by UpStudy AI and reviewed by a Professional Tutor

Beyond the Answer

Let’s evaluate each inequality with its corresponding value! 6. For \( \frac{x}{6} \leq 1 \) and \( x=5 \): - Plugging in gives \( \frac{5}{6} \leq 1 \), which is true since \( 0.8333... \leq 1 \). So, 5 is a solution! 7. For \( 1.4v > 16 \) and \( v=11 \): - Plugging in gives \( 1.4 \times 11 > 16 \) or \( 15.4 > 16 \), which is false. Thus, 11 is not a solution! 8. For \( t+9.8 \geq 21.01 \) and \( t=11.1 \): - Plugging in gives \( 11.1 + 9.8 \geq 21.01 \), which simplifies to \( 20.9 \geq 21.01 \). This is false, so 11.1 is not a solution! 9. For \( 2 \frac{1}{2} < \frac{m}{30} \) and \( m=90 \): - Converting \( 2 \frac{1}{2} \) to an improper fraction gives \( 2.5 < \frac{90}{30} \) or \( 2.5 < 3 \), which is true! Therefore, 90 is a solution! 10. For \( \frac{1}{2} > 3p \) and \( p=\frac{1}{6} \): - Plugging in gives \( \frac{1}{2} > 3 \times \frac{1}{6} \) or \( \frac{1}{2} > \frac{1}{2} \), which is false. So, \( \frac{1}{6} \) is not a solution! 11. For \( 2.16 \geq 3z - 0.5 \) and \( z=0.6 \): - Plugging in gives \( 2.16 \geq 3 \times 0.6 - 0.5 \) or \( 2.16 \geq 1.8 - 0.5 \), which simplifies to \( 2.16 \geq 1.3 \). This is true! Thus, 0.6 is a solution!

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