Inequalities L-8 | Rules to solve inequalities (Part D) | By Naman Agarwal | JEE Mains and Advanced | CBSE

Solve the inequation sqrt(3x -8) lt -2

Solve the inequation 8-2x ge x -5, x in N .

Solve the following inequality (x + 8)/(x -2) ge 0

Solve the inequation: 3(x-2)le5x+8

Solve the inequalities graphically in two-dimensional plane: y+8geq2x

Solve the inequalities for real x : 37-(3x+5)geq9x-8(x-3)

While solving logarithmic equations or logarithmic inequalities care must be taken to ensure that the value of the variable obtained do indeed satisfy the given equation . Often the solution consists in transforming the original equation to form which can be solved with ease . But in bargain the process the transformations carried out are not always equivalent .In what follows one must verify that the values of variables obtained indeed satisfy original equation or inequation. How many solutions in real numbers does the equation 3^(x) 8 ^((x)/(x-2)) = 6 have ? i) None ii) Exactly one iii) Exactly two iv) Infinite

Solve the inequation sqrt(x+2) gt sqrt(8-x^(2)) .

Solve the inequation sqrt(x^(2)-3x-10) gt (8-x) .