Login
Premium
Home Question Bank Math Algebra
Question
upstudy study bank question image url

(40) How many possible solutions are there to the inequality \( x \leq 5 \) ?

Ask by Pope Cole. in the United States
Jan 24,2025

Real Tutor Solution

Tutor-Verified Answer

Answer

There are infinitely many solutions to the inequality \( x \leq 5 \).

Solution

Sign in to Unlock Answers for Free!

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

star-icon Unlock

Reviewed and approved by the UpStudy tutoring team

Beyond the Answer

The inequality \( x \leq 5 \) has infinitely many solutions. Any number less than or equal to 5, including whole numbers, fractions, and decimals, satisfies this inequality. So, you can think of all the numbers on the number line to the left of 5, along with 5 itself, creating a never-ending list of values! In real-world terms, imagine if \( x \) represents the amount of money someone can spend at a shop; if the store has a spending limit of $5, then a shopper could choose to spend $0, $1, $2, $3, $4, or any other amount up to $5, resulting in a multitude of spending options!

Related Questions

Write an expression for the verbal phrase The difference between \( x \) and half of \( y \).
Algebra United States Jan 24, 2025
Write an expression for the verbal phrase: The product of the square of \( x \) and seven
Algebra United States Jan 24, 2025
43. Halle el producto de las soluciones de la ecuación: \[ \sqrt{2-3 x}+\sqrt{11+3 x}=5 \] a) \( 14 / 9 \). b) \( 15 / 7 \) c) \( 4 / 3 \) d) \( 20 / 9 \) e) Ninguno
Algebra Bolivia Jan 24, 2025
A1. Hallar el valor de \( E=\frac{x^{-1}+11}{x} \), sabiendo que \( x \) es solución de la ecuación. \[ \frac{3}{4 x^{2}-1}-\frac{1}{2 x+1}=\frac{3}{2 x-1} \] a) \( 64 / 89 \) b) 152 . c) \( 89 / 64 \) d) 154 e) Ninguno
Algebra Bolivia Jan 24, 2025
1. Sendo \( x \) e \( y \) dois números reais quaisquer, qual das opçôes é correcta? A \( |x+y|=|x|+|y| \) \( B|x|^{2}=x^{2} \) C \( |x+y| \geq|x|+|y| \) D \( \sqrt{x}=|x| \) 2. Qual éo valor de \( |\sqrt{7}-4| \) ? \[ A-\sqrt{7}-\sqrt{4} \] -B \( -\sqrt{7}-4 \) C \( \sqrt{7}+4 \) D \( -\sqrt{7}+4 \) 3. A distância entre os pontos de abscissas \( -5 e^{1} \) é de... - A 4 unidades. B 5 unidades. C 6 unidades. D 7 unidades. 4. Como se escreve, algebricamente, " abcissas cujos pontos se encontram a uma distância unidades de 1 "? A \( |x-5|=1 \) B \( |5+x|=1 \) C \( |x-1|=5 \) D \( |1+x|=5 \) 5. Qual é a solução da equação \( |2 x-4|-2=0 \) ? A \( x=[-1 ; 3] \) B \( x=\{-3 ; 1\} \) C \( x=\{1 ; 3\} \) D \( x=\{-3 ;-1\} \) 6. Que valores \( k \) pode tomar, para que a equaçío \( |x-2|=k-4 \) tenha solução? A \( k \in]-\infty ;-4 \) ] B \( k \in]-\infty ;-4[ \) C \( k \in 4 ;+\infty[ \) D \( k \in]-\infty ; 4[ \) 7. Qual das afirmações é verdadeira? A. \( 6!=6 \) B \( 3!+2!=5 \) ! C \( 1!\cdot 1!=2 \) ! D \( 0!=1 \) 8. \( \operatorname{Se}(n-1)!=(n-2)! \), então: A \( n=3 \) B \( n=2 \) C \( n=1 \) D \( \mathbf{n}=\mathbf{0} \) 9. Quantos termos tem o desenvolvimento de \( (a+b)^{7} \) ? A 6 B 7 C 8 D 9
Algebra Mozambique Jan 24, 2025

Latest Algebra Questions

Which of the following is a simplified version equiva- lent to \( \frac{3+6 x}{9 x} \) ? A. \( \frac{2 x+1}{3 x} \) B. \( \frac{1+6 x}{3 x} \) C. 1 D. 2 E. \( \frac{7}{2} \)
Algebra Egypt Jan 24, 2025
2.1 Determine \( n \) if \( \sum_{k=1}^{n}(-8)\left(\frac{1}{2}\right)^{k-1}=-\frac{63}{4} \)
Algebra South Africa Jan 24, 2025
1.4 The sum of the \( n \) terms of a sequence is given by \[ S_{n}=\frac{n}{2}(7 n+15) \] Calculate \( T_{4} \)
Algebra South Africa Jan 24, 2025
1. Sendo \( x \) e \( y \) dois números reais quaisquer, qual das opçôes é correcta? A \( |x+y|=|x|+|y| \) \( B|x|^{2}=x^{2} \) C \( |x+y| \geq|x|+|y| \) D \( \sqrt{x}=|x| \) 2. Qual éo valor de \( |\sqrt{7}-4| \) ? \[ A-\sqrt{7}-\sqrt{4} \] -B \( -\sqrt{7}-4 \) C \( \sqrt{7}+4 \) D \( -\sqrt{7}+4 \) 3. A distância entre os pontos de abscissas \( -5 e^{1} \) é de... - A 4 unidades. B 5 unidades. C 6 unidades. D 7 unidades. 4. Como se escreve, algebricamente, " abcissas cujos pontos se encontram a uma distância unidades de 1 "? A \( |x-5|=1 \) B \( |5+x|=1 \) C \( |x-1|=5 \) D \( |1+x|=5 \) 5. Qual é a solução da equação \( |2 x-4|-2=0 \) ? A \( x=[-1 ; 3] \) B \( x=\{-3 ; 1\} \) C \( x=\{1 ; 3\} \) D \( x=\{-3 ;-1\} \) 6. Que valores \( k \) pode tomar, para que a equaçío \( |x-2|=k-4 \) tenha solução? A \( k \in]-\infty ;-4 \) ] B \( k \in]-\infty ;-4[ \) C \( k \in 4 ;+\infty[ \) D \( k \in]-\infty ; 4[ \) 7. Qual das afirmações é verdadeira? A. \( 6!=6 \) B \( 3!+2!=5 \) ! C \( 1!\cdot 1!=2 \) ! D \( 0!=1 \) 8. \( \operatorname{Se}(n-1)!=(n-2)! \), então: A \( n=3 \) B \( n=2 \) C \( n=1 \) D \( \mathbf{n}=\mathbf{0} \) 9. Quantos termos tem o desenvolvimento de \( (a+b)^{7} \) ? A 6 B 7 C 8 D 9
Algebra Mozambique Jan 24, 2025
Write an expression for the verbal phrase The difference between \( x \) and half of \( y \).
Algebra United States Jan 24, 2025
Prev Next
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