Basic Exponential Inequalities I

Submitted by ladislav.foltyn on Mon, 12/10/2018 - 15:45
Project ID: 
6000000012
Accepted: 
SubArea: 
Exponential equations and inequalities
Type: 
Match
Layout: 
8x8
Question: 
Match each of the following inequalities with its solution set.
Questions Title: 
Inequalities
Answers Title: 
Solution sets
Question 1: 
\( 3^{x+2} > 9 \)
Answer 1: 

\( x\in(0;\infty) \)

Question 2: 
\( 1+\left(\frac12\right)^x < 3 \)
Answer 2: 

\( x\in(-1;\infty) \)

Question 3: 
\( 2\cdot5^{x+3}-1 < 9 \)
Answer 3: 

\( x\in(-\infty;-2) \)

Question 4: 
\( 7^{-x} - \frac17 < 0 \)
Answer 4: 

\( x\in(1;\infty) \)

Question 5: 
\( 2 < \left(\frac12\right)^{x-2} \)
Answer 5: 

\( x\in(-\infty;1) \)

Question 6: 
\( \left(\frac15\right)^x-11 < 14 \)
Answer 6: 

\( x\in(-2;\infty) \)

Question 7: 
\( 3^{4x} < 2-81^x \)
Answer 7: 

\( x\in(-\infty;0) \)

Question 8: 
\( 4 < \left(\frac14\right)^x \)
Answer 8: 

\( x\in(-\infty;-1) \)

Tex: 
% http://math4u.vsb.cz/ticket/32606 \NastavOT{2} \NastavOD{4}