Solving multi-step problems using non-linear inequalities in one variable

 $\left(\frac{1}{8}\right)^{\left(-2x-6\right)}>\left(\frac{1}{32}\right)^{\left(-x+11\right)}$  

• x > -37

• x > -73

• x < 1

• x > 73

Solve the logarithmic inequality.
 $\log_{16}x>\frac{1}{4}$  

•  $x>2$  

•  $x<2$  

•  $x>0$  

•  $x>16$  

For what values of x is the linear equation greater than the exponential equation?

• x > 1.75

• x < -3

• x = 0

Mathematical Equivalence

ON

(1/8)^{-2x - 6} > (1/32)^-x+11

• x > -73

• x < -73

• x > -37

• x < -37

For which values of x is the exponential function below the linear function?

• from when x is 1 to when x is about 3.5

• from when x is 0 to when x is 1

• from when x is greater than about 3.5

• from when x is greater than 1

Mathematical Equivalence

ON

• A
• B
• C
• D

• A
• B
• C
• D