Acceso
Prima
Hogar Banco de preguntas Matemáticas Álgebra
Pregunta
upstudy study bank question image url

\( -40>25-5 x \) or \( 2 x+4 \leq 29 \)

Ask by Sullivan Turnbull. in the United States
Feb 26,2025

Solución de inteligencia artificial de Upstudy

Respuesta verificada por el tutor

Responder

The solutions are \( x > 13 \) and \( x \leq 12.5 \).

Solución

Solve the equation \( -40>25-5x \). Solve the inequality by following steps: - step0: Solve for \(x\): \(-40>25-5x\) - step1: Swap the sides: \(25-5x<-40\) - step2: Move the constant to the right side: \(-5x<-40-25\) - step3: Subtract the numbers: \(-5x<-65\) - step4: Change the signs: \(5x>65\) - step5: Divide both sides: \(\frac{5x}{5}>\frac{65}{5}\) - step6: Divide the numbers: \(x>13\) Solve the equation \( 2x+4 \leq 29 \). Solve the inequality by following steps: - step0: Solve for \(x\): \(2x+4\leq 29\) - step1: Move the constant to the right side: \(2x\leq 29-4\) - step2: Subtract the numbers: \(2x\leq 25\) - step3: Divide both sides: \(\frac{2x}{2}\leq \frac{25}{2}\) - step4: Divide the numbers: \(x\leq \frac{25}{2}\) The given inequalities are: 1. \( -40 > 25 - 5x \) which simplifies to \( x > 13 \) 2. \( 2x + 4 \leq 29 \) which simplifies to \( x \leq \frac{25}{2} \) Therefore, the solutions to the inequalities are \( x > 13 \) and \( x \leq \frac{25}{2} \).

Respondido por UpStudy AI y revisado por un tutor profesional

error msg
Explicar
Simplifique esta solución

Extra Insights

To solve the inequality \( -40 > 25 - 5x \), start by isolating \( x \). Subtract 25 from both sides to get \( -65 > -5x \). Dividing both sides by -5 (and flipping the inequality) gives you \( x > 13 \). For the second inequality \( 2x + 4 \leq 29 \), subtract 4 from both sides to find \( 2x \leq 25 \). Dividing by 2 results in \( x \leq 12.5 \). Combining both results, the solution is \( x > 13 \) or \( x \leq 12.5 \). Now, here’s a fun tidbit: both inequalities represent different ranges of values for \( x \) and can be visualized on a number line, revealing how they interact. If you keep finding inequalities confusing, remember the good ol’ “flip the sign” rule when multiplying or dividing by a negative number—it's like the inequality is doing a little dance!

preguntas relacionadas

ISCELÁNEA cribir, por simple inspección, el resultado de: \( \begin{array}{lll}(x+2)^{2} & \text { 14. }(x+y+1)(x-y-1) & \text { 27. }\left(2 a^{3}-5 b^{4}\right)^{2} \\ (x+2)(x+3) & \text { 15. }(1-a)(a+1) & \text { 28. }\left(a^{3}+12\right)\left(a^{3}-15\right) \\ (x+1)(x-1) & \text { 16. }(m-8)(m+12) & \text { 29. }\left(m^{2}-m+n\right)\left(n+m+m^{2}\right) \\ (x-1)^{2} & \text { 17. }\left(x^{2}-1\right)\left(x^{2}+3\right) & \text { 30. }\left(x^{4}+7\right)\left(x^{4}-11\right) \\ (n+3)(n+5) & \text { 18. }\left(x^{3}+6\right)\left(x^{3}-8\right) & \text { 31. }(11-a b)^{2} \\ (m-3)(m+3) & \text { 19. }\left(5 x^{3}+6 m^{4}\right)^{2} & \text { 32. }\left(x^{2} y^{3}-8\right)\left(x^{2} y^{3}+6\right) \\ (a+b-1)(a+b+1) & \text { 20. }\left(x^{4}-2\right)\left(x^{4}+5\right) & \text { 33. }(a+b)(a-b)\left(a^{2}-b^{2}\right) \\ (1+b)^{3} & \text { 21. }(1-a+b)(b-a-1) & \text { 34. }(x+1)(x-1)\left(x^{2}-2\right) \\ \left(a^{2}+4\right)\left(a^{2}-4\right) & \text { 22. }\left(a^{x}+b^{n}\right)\left(a^{x}-b^{n}\right) & \text { 35. }(a+3)\left(a^{2}+9\right)(a-3) \\ \left(3 a b-5 x^{2}\right)^{2} & \text { 23. }\left(x^{a+1}-8\right)\left(x^{a+1}+9\right) & \text { 36. }(x+5)(x-5)\left(x^{2}+1\right) \\ (a b+3)(3-a b) & \text { 24. }\left(a^{2} b^{2}+c^{2}\right)\left(a^{2} b^{2}-c^{2}\right) & \text { 37. }(a+1)(a-1)(a+2)(a-2) \\ (1-4 a x)^{2} & \text { 25. }(2 a+x)^{3} & \text { 36. }\left(x^{2}-11\right)\left(x^{2}-2\right)\end{array} \) \( \left(a^{2}+8\right)\left(a^{2}-7\right) \)
Álgebra Mexico Feb 26, 2025
Simplify. \[ \frac{4 m^{-8} n^{9}}{16 n^{-4} m^{-7}} \]
Álgebra United States Feb 26, 2025
Simplify. \[ \frac{x^{-5}}{x^{5}} \] Write your answer with a positive exponent only.
Álgebra United States Feb 26, 2025
Question 1 (1 point) For your birthday, you got a \( \$ 50 \) gift card to your favorite store. You use the gift card to buy a \( \$ 10 \) T-shirt and you want to buy as many \( \$ 5 \) pairs of shorts as possible with the rest. Which of these inequalities describes this situation, where \( p \) is the number of pairs of shorts you can buy?
Álgebra United States Feb 26, 2025
Write an equation to represent the following statement. \( j \) is 25 more than 3 .
Álgebra United States Feb 26, 2025

Latest Algebra Questions

Simplify. \[ \left(2 x^{5} y^{-4}\right)^{3} \] Write your answer using only positive exponents. \( \square \)
Álgebra United States Feb 26, 2025
\( \left(y^{-7}\right)^{5} \) Write your answer without using negative
Álgebra United States Feb 26, 2025
Question 1 (1 point) For your birthday, you got a \( \$ 50 \) gift card to your favorite store. You use the gift card to buy a \( \$ 10 \) T-shirt and you want to buy as many \( \$ 5 \) pairs of shorts as possible with the rest. Which of these inequalities describes this situation, where \( p \) is the number of pairs of shorts you can buy?
Álgebra United States Feb 26, 2025
Simplify. \[ \frac{4 m^{-8} n^{9}}{16 n^{-4} m^{-7}} \]
Álgebra United States Feb 26, 2025
Abby knows that 1 mile is about 1.61 kilometers. She wants to write an equation she can use to convert any given distance in miles \( (m) \) to kilometers \( (k) \). How should Abby write her equation? Choose 1 answer: (A) \( 1.61-\frac{k}{m} \) (B) \( 1.61 m=k \) (C) \( \frac{k}{1.61}=m \)
Álgebra United States Feb 26, 2025
Anterior Próximo
¡Prueba Premium ahora!
¡Prueba Premium y hazle a Thoth AI preguntas de matemáticas ilimitadas ahora!
Quizas mas tarde Hazte Premium
Estudiar puede ser una verdadera lucha
¿Por qué no estudiarlo en UpStudy?
Seleccione su plan a continuación
Prima

Puedes disfrutar

Empieza ahora
  • Explicaciones paso a paso
  • Tutores expertos en vivo 24/7
  • Número ilimitado de preguntas
  • Sin interrupciones
  • Acceso completo a Respuesta y Solución
  • Acceso completo al chat de PDF, al chat de UpStudy y al chat de navegación
Básico

Totalmente gratis pero limitado

  • Solución limitada
Bienvenido a ¡Estudia ahora!
Inicie sesión para continuar con el recorrido de Thoth AI Chat
Continuar con correo electrónico
O continuar con
Al hacer clic en "Iniciar sesión", acepta nuestros términos y condiciones. Términos de Uso & Política de privacidad