Solutions to Exponential Inequalities

Project ID: 
7100020067
Accepted: 
Type: 
Layout: 
Question: 
Find matching pairs: an inequality with the smallest integer that satisfies it or an inequality paired with the largest integer that satisfies it.
Question 1: 
$\left( \frac{1}{2}\right) ^x \leq 0.25$
Answer 1: 
$x=2$
Question 2: 
$\left( \frac{3}{2}\right) ^x>2.25$
Answer 2: 
$x=3$
Question 3: 
$\left( \frac{5}{6}\right) ^x < \frac{36}{25}$
Answer 3: 
$x=-1$
Question 4: 
$\left( \frac{5}{2}\right) ^x < 0.16$
Answer 4: 
$x=-3$
Question 5: 
$\left( \frac{3}{2}\right) ^x > \frac{8}{27}$
Answer 5: 
$x=-2$
Question 6: 
$\left( \frac{5}{2}\right) ^{ x-1}\leq\frac{2}{5}$
Answer 6: 
$x=0$
Question 7: 
$\left( 0.75\right) ^{x-3} \geq \frac{16}{9}$
Answer 7: 
$x=1$
Question 8: 
$\left( 0.6\right) ^{-x} > \frac{125}{27}$
Answer 8: 
$x=4$
Question 9: 
$\left( 0.5\right) ^x < 32$
Answer 9: 
$x=-4$