`4x+3 lt 5x+7`

Solve 4x+3 lt 6x+7 .

Solve 7x+3 lt 5x+9 . Show the graph of the solutions on number line.

Solve the system of inequalities: 3x-7 lt 5+x" "…(1) 11-5 x le 1" "…(2)

Let A={x:x^(2)-4x+3 lt 0,x in R } B={x: 2^(1-x)+p le 0 , x^(2)-2(p+7)x+5 le0} If B sube A , then p in

If x satisfies the inequations 2x - 7 lt 11 , 3x + 4 lt -5 , then x lies in the interval

If x satisfies the inequalities x+7 le 2x + 3 and 2x+4 lt 5x + 3 , then x lies in the interval

A function f (-3 , 7) to R is defined as follows f (x) = {{:( 4 x^(2) + 1 , ,-3 le x lt 2) , (3x - 2 , ,2 le x le 4) , (2x + 3 , ,4 lt x lt 7):}} Find (i) 5 f(1) - 3 f(-2) (ii) 3f (-3) + 4 f (iii) (7 f (3) - f (-1))/(2 f (6) - f(1))

A function f [-3, 7] rarr R is defined as follows f(x) = {{: (4x^(2) - 1, " " -3 le x lt 2 ),(3x -2, " " 2 le x le 4 ),(2x -3 , " " 4 lt x lt 7):} Find (i) f (5) + f(6) (ii) f(1) - f(-3) (iii) f(-2)-f(4) (iv) (f(3)+ f(-1))/(2 f(6) - f(1))

Solve for x |3 - x| lt 7

Solve the inequality 3x+5 lt x-7 , when x is a real number.