Pregunta
Write any value that is a solution of the inequality \( 2 x+1 \geq 11 \). The value \( \quad \) is a solution of \( 2 x+1 \geq 11 \).
Ask by Thornton Schmidt. in the United States
Feb 27,2025
Solución de inteligencia artificial de Upstudy
Respuesta verificada por el tutor
Responder
Any number greater than or equal to 5 is a solution. For example, 5 is a solution.
Solución
To solve the inequality 2x + 1 ≥ 11, first subtract 1 from both sides:
2x ≥ 10
Then divide both sides by 2:
x ≥ 5
Any number greater than or equal to 5 is a solution. For example, x = 5 is a solution because when you substitute it back into the inequality:
2(5) + 1 = 10 + 1 = 11 (which meets the requirement 11 ≥ 11).
Thus, the value 5 is a solution of 2x + 1 ≥ 11.
Respondido por UpStudy AI y revisado por un tutor profesional
Como
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Extra Insights
To solve the inequality \( 2x + 1 \geq 11 \), we can first isolate \( x \) by subtracting 1 from both sides, giving us \( 2x \geq 10 \). Then, dividing both sides by 2, we find \( x \geq 5 \). So, any value equal to or greater than 5 will satisfy the inequality. For example, the value \( 6 \) is a solution of \( 2x + 1 \geq 11 \).
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