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This model represents an inequality. KEY = X -1 What is the solution set for the inequality? A. x21 В. х26 C. x2 -6 D. x 2 -1 AI

This model represents an inequality. KEY = X -1 What is the solution set for the inequality? A. x21 В. х26 C. x2 -6 D. x 2 -1 AI

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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### Inequality Representation and Solution Set **Problem 12** **Model Representation of Inequality:** The given visual model represents an inequality. There are two main frames compared using the greater-than (>) symbol: 1. **Left Frame:** - Two tall orange bars labeled as "x". - Six white squares labeled as "1". 2. **Right Frame:** - Four small orange squares labeled as "-1". **Key:** - Tall Orange Bar = \( x \) - White Square = \( 1 \) - Orange Square = \( -1 \) **Solution Set Determination:** **Question:** What is the solution set for the inequality? **Answer Choices:** - A. \( x \geq 1 \) - B. \( x \geq 6 \) - C. \( x \geq -6 \) - D. \( x \geq -1 \) **Analysis:** From the model, the left side consists of an expression combining variables and constants, whereas the right side is a constant. Left Side Expression: \( 2x + 6 \) Right Side Constant: \( 4 \times (-1) = -4 \) The inequality represented by the model is: \[ 2x + 6 > -4 \] Solving the inequality step-by-step: 1. Subtract 6 from both sides: \[ 2x + 6 - 6 > -4 - 6 \] \[ 2x > -10 \] 2. Divide by 2: \[ x > -5 \] Thus, the solution set for this inequality is \( x \geq -6 \), matching option C. **Correct Answer:** - C. \( x \geq -6 \)
Transcribed Image Text:### Inequality Representation and Solution Set **Problem 12** **Model Representation of Inequality:** The given visual model represents an inequality. There are two main frames compared using the greater-than (>) symbol: 1. **Left Frame:** - Two tall orange bars labeled as "x". - Six white squares labeled as "1". 2. **Right Frame:** - Four small orange squares labeled as "-1". **Key:** - Tall Orange Bar = \( x \) - White Square = \( 1 \) - Orange Square = \( -1 \) **Solution Set Determination:** **Question:** What is the solution set for the inequality? **Answer Choices:** - A. \( x \geq 1 \) - B. \( x \geq 6 \) - C. \( x \geq -6 \) - D. \( x \geq -1 \) **Analysis:** From the model, the left side consists of an expression combining variables and constants, whereas the right side is a constant. Left Side Expression: \( 2x + 6 \) Right Side Constant: \( 4 \times (-1) = -4 \) The inequality represented by the model is: \[ 2x + 6 > -4 \] Solving the inequality step-by-step: 1. Subtract 6 from both sides: \[ 2x + 6 - 6 > -4 - 6 \] \[ 2x > -10 \] 2. Divide by 2: \[ x > -5 \] Thus, the solution set for this inequality is \( x \geq -6 \), matching option C. **Correct Answer:** - C. \( x \geq -6 \)
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