Answer:
Question 9: Variables: (smallest) s, q, r (largest)
Question 10: 5 whole numbers (7, 8, 9, 10, and 11)
Step-by-step explanation:
For question nine, there are two given statements... s=q-2 and q<r. Say we plug in 10000 (a really big #) in for q, then we would get s=9998 and r>10000. This way, we can see that s would be the smallest, then q, and r is the largest. (q<r can be written as r>q)
For question 10, it states [tex]\frac{1}{4} <\frac{3}{x} <0.5[/tex]. This can be split into [tex]\frac{3}{x} <\frac{1}{4}[/tex] and [tex]\frac{3}{x} <0.5[/tex] . When x is 12 in the first equation then [tex]\frac{3}{12} = \frac{1}{4}[/tex] and when x is 6 in the second equation [tex]\frac{3}{6} =0.5[/tex] (0.5 is also [tex]\frac{1}{2}[/tex]). Therefore, x must be a whole number less than 12 and greater than 6, and it cannot be either 12 or 6. Whole numbers between 6 and 12 are 7, 8, 9, 10, and 11 or 5 whole numbers.
