Inequalities — Quiz 4

Questions in this quiz (6)

1. Let $$n$$ be an odd integer. How many possible values of $$n$$ satisfy the inequality: $$\sqrt{n+5} \leq 4?$$

   • 11
   • 13
   • 9
   • 7

2. If $$y$$ is a real number such that $$y^2$$ > $$-2y$$, which of the following statements must be true?

   • $$0$$ < $$y$$ < $$2$$
   • $$y$$ > $$-2$$
   • $$-2$$ < $$y$$ < $$0$$
   • $$y$$ < $$-2$$

3. The solutions to the inequality $$y$$ < $$2x-3$$ will be in which quadrant(s) of the $$xy$$-coordinate plane?

   • I, III
   • I, II, and III
   • I, III, and IV
   • II, III, and IV

4. If $$-4|-2|$$ < $$-2|x-1|$$ what are all possible values of $$x$$?

   • $$-4$$ < $$x$$ < $$0$$
   • $$-4$$ < $$x$$ < $$4$$
   • $$-3$$ < $$x$$ < $$5$$
   • $$0$$ < $$x$$ < $$4$$

5. You are putting together a snack pack that contains granola bars and fruit cups. You have only $$40$$ dollars to spend. Granola bars cost $$2.50$$ dollars each, and fruit cups cost $$1.75$$ dollars each. How many granola bars can be in the pack if there are $$10$$ fruit cups in the pack?

   • $$g \le 9$$
   • $$g \le 22.5$$
   • $$g \geq 22.5$$
   • $$g$$ > $$22.5$$

6. What is the only integer $$a$$ for which $$\frac{1}{a}$$ > $$\frac{2}{9}$$ and $$4a\geq10.2$$?

   • 5
   • 4
   • 3
   • 2