Expression 6: 2 "x" squared plus 5 "x" minus 3 equals "x" squared plus 4 "x" plus 32x2+5x−3=x2+4x+3
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b. Obtain a Lesson 3.2.1A Resource Page. On the resource page, label each graph with its equation and highlight each function with a different color. How did you decide which graph matches which function?
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c. Use the graph to identify the x-values for which 2x^2 + 5x – 3 ≤ x^2 + 4x + 3. How did you locate the solutions? How many solutions are there? Find a way to describe all of the solutions.
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Expression 9: 2 "x" squared plus 5 "x" minus 3 less than or equal to "x" squared plus 4 "x" plus 32x2+5x−3≤x2+4x+3
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d. How can these solutions be represented on a number line? Locate the number line labeled 2x^2 + 5x – 3 ≤ x^2 + 4x + 3 on your resource page. Use a colored marker to highlight the solutions to the inequality on the number line.
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e. What about the inequality 2x^2 + 5x – 3 > x^2 + 4x + 3? What are the solutions to this inequality? Represent your solutions algebraically and on a number line.
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Expression 12: 2 "x" squared plus 5 "x" minus 3 greater than "x" squared plus 4 "x" plus 32x2+5x−3>x2+4x+3