Solving and Graphing Inequalities

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Questions and Answers

Which of the following represents the solution to the inequality $3x + 2 > 8$?

  • $x > 2$ (correct)
  • $x < 1$
  • $x > 6$
  • $x < 3$

For which value of $y$ does the inequality $4y - 9 \ imes 2 \ imes y > 7 - 3y$ hold true?

  • $y < \frac{7}{5}$ (correct)
  • $y < -2$
  • $y > \frac{9}{2}$
  • $y > 3$

What is the solution set for the inequality $-5x + 3 \ imes (x + 1) \ imes 2 \ imes x \ imes (x - 4) < 0$?

  • $x &lt; -1$ or $x &gt; 4$ (correct)
  • $x &lt; -4$ or $-1 &lt; x &lt; 1$
  • $1 &lt; x &lt; 4$
  • $-4 &lt; x &lt; -1$ or $x &gt; 4$

How can you determine the solution set for the inequality $-5x + 3 imes (x + 1) imes 2 imes x imes (x - 4) < 0$?

<p>By finding the critical points and testing the intervals between them.</p> Signup and view all the answers

What is the solution to the inequality $4y - 9 imes 2 imes y > 7 - 3y$?

<p>The solution is $y &lt; -rac{9}{2}$ or $y &gt; rac{7}{7}$.</p> Signup and view all the answers

How would you graph the solution to the inequality $3x + 2 > 8$?

<p>The graph would show all x values greater than the solution, which is $x &gt; rac{6}{3}$ or $x &gt; 2$.</p> Signup and view all the answers

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