Inequalities Quiz

What is the solution to the inequality below?

4x < 16

• x < 4

• x > 4

•  $x\ge4$

• $x\le4$

For which inequality below is  $x\le6$   a solution?

• $\frac{x}{6\ }\le\ 36$

• $\frac{6}{x}\le1$

• $\frac{x}{6}\le1$

• $\frac{6}{x}\le11$

Which number line represents the solution to the inequality x - 3 > 2?

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Michele needs at least 30 ounces of pecans to bake some pies. Pecans are sold in 4-ounce packages. Which inequality could be used to find the number of packages of pecans she has to buy?

• $\frac{30}{x}\le4$

• $\frac{4}{x}\le30$

• $4x\ \ge\ 30$

• $x\le30-4$

 Which number line below represents the inequality ? $x\le-4$  

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The number line above represents the solution to which of the following inequalities?

• $\frac{x}{-4}\ge-2$

• $\frac{x}{4}>-2$

• $\frac{x}{-4}<-2$

• $\frac{x}{4}\le-2$

Explain the difference between the two inequalities. How does this affect your method of solution?
                                                                                                            $-3x>9$  
                                                                                                            $3x>9$  

If Debbie has at most $20 to spend at the school book fair and she wants to buy Percy Jackson and the Olympians – The Lightning Thief which costs $6.50, which inequality would you use to find out how much money she can spend on other books at the book fair?

• $20=6.50x$

• $20=x+6.50$

• $20\ge x+6.50$

• $20\ge6.50x$

John solved the inequality 100 ≤ 20x. The graph of his solution is shown. Is john's solution correct and why?

• Yes, because he used an open circle and shaded to the right

• No, because he needed to use a closed circle and shade to the right

• No, because he needed to use a closed circle and shade to the left.

• Yes, because he needed to use a closed circle and shade to the left.

Which number line represents the solution to the inequality below?  $x+8\ge5$  

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