6 Questions
Which of the following represents the solution to the inequality $3x + 2 > 8$?
$x > 2$
For which value of $y$ does the inequality $4y - 9 \ imes 2 \ imes y > 7 - 3y$ hold true?
$y < \frac{7}{5}$
What is the solution set for the inequality $-5x + 3 \ imes (x + 1) \ imes 2 \ imes x \ imes (x - 4) < 0$?
$x < -1$ or $x > 4$
How can you determine the solution set for the inequality $-5x + 3 imes (x + 1) imes 2 imes x imes (x - 4) < 0$?
By finding the critical points and testing the intervals between them.
What is the solution to the inequality $4y - 9 imes 2 imes y > 7 - 3y$?
The solution is $y < -rac{9}{2}$ or $y > rac{7}{7}$.
How would you graph the solution to the inequality $3x + 2 > 8$?
The graph would show all x values greater than the solution, which is $x > rac{6}{3}$ or $x > 2$.
Test your understanding of solving and graphing inequalities with these multiple-choice and open-ended questions. Practice solving inequalities algebraically and graphing the solutions on a number line.
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