Basics of Logarithms and Working with Log Tables

Critical Points, Inequalities and Modulus – I

Questions discussed in this video:

Question 1. {\displaystyle \frac{x}{2x+1} \ge \frac{1}{4} , \frac{6x}{4x-1} < \frac{1}{2} }

Question 2. {\displaystyle \frac{x-3}{x-4} > 0 }

Question 3. {\displaystyle {(x-3)}{(x-4)} > 0 }

Question 4. {\displaystyle 7(x-4) \ge 0 }

Question 5. {\displaystyle \frac{7}{x-4} \ge 0 }

Question 6. {\displaystyle \frac{x-2}{x+5}>2 }

Critical Points, Inequalities and Modulus – II

Questions discussed in this video:

Question 1. {\displaystyle \frac{|x|-1}{|x|-2} \ge 0, x \in \text{ R }}

Question 2. Solve {\displaystyle 1 \le |x-2| \le 3 }

Question 3. Solve for x {\displaystyle |x+1|+|x|>3 }

Question 4. {\displaystyle |x| > 3 }

Question 5. {\displaystyle |3-4x| \ge 9 }

Question 6. {\displaystyle \frac{|x+3|+x}{x+2}>1 }